diff --git a/docs/src/content/docs/api-output.md b/docs/src/content/docs/api-output.md
index f41ac47a8..fb489812c 100644
--- a/docs/src/content/docs/api-output.md
+++ b/docs/src/content/docs/api-output.md
@@ -158,7 +158,7 @@ Set output density (DPI) in EXIF metadata.
 
 | Param | Type | Description |
 | --- | --- | --- |
-| density | <code>number</code> | Number of pixels per inch (DPI). |
+| density | <code>number</code> | Number of pixels per inch (DPI), between 1 and 100000. |
 
 **Example**  
 ```js
@@ -435,7 +435,7 @@ Allows orientation and density to be set or updated.
 | --- | --- | --- |
 | [options] | <code>Object</code> |  |
 | [options.orientation] | <code>number</code> | Used to update the EXIF `Orientation` tag, integer between 1 and 8. |
-| [options.density] | <code>number</code> | Number of pixels per inch (DPI). |
+| [options.density] | <code>number</code> | Number of pixels per inch (DPI), between 1 and 100000. |
 
 **Example**  
 ```js
diff --git a/lib/output.mjs b/lib/output.mjs
index b28afd795..a5ec90cdb 100644
--- a/lib/output.mjs
+++ b/lib/output.mjs
@@ -205,15 +205,15 @@ function toUint8Array () {
  *   .withDensity(96)
  *   .toBuffer();
  *
- * @param {number} density Number of pixels per inch (DPI).
+ * @param {number} density Number of pixels per inch (DPI), between 1 and 100000.
  * @returns {Sharp}
  * @throws {Error} Invalid parameters
  */
 function withDensity (density) {
-  if (is.number(density) && density > 0) {
+  if (is.number(density) && is.inRange(density, 1, 100000)) {
     this.options.withMetadataDensity = density;
   } else {
-    throw is.invalidParameterError('density', 'positive number', density);
+    throw is.invalidParameterError('density', 'number between 1 and 100000', density);
   }
   return this.keepExif();
 }
@@ -520,7 +520,7 @@ function keepMetadata () {
  *
  * @param {Object} [options]
  * @param {number} [options.orientation] Used to update the EXIF `Orientation` tag, integer between 1 and 8.
- * @param {number} [options.density] Number of pixels per inch (DPI).
+ * @param {number} [options.density] Number of pixels per inch (DPI), between 1 and 100000.
  * @returns {Sharp}
  * @throws {Error} Invalid parameters
  */
@@ -536,10 +536,10 @@ function withMetadata (options) {
       }
     }
     if (is.defined(options.density)) {
-      if (is.number(options.density) && options.density > 0) {
+      if (is.number(options.density) && is.inRange(options.density, 1, 100000)) {
         this.options.withMetadataDensity = options.density;
       } else {
-        throw is.invalidParameterError('density', 'positive number', options.density);
+        throw is.invalidParameterError('density', 'number between 1 and 100000', options.density);
       }
     }
     if (is.defined(options.icc)) {
diff --git a/test/unit/metadata.js b/test/unit/metadata.js
index 903a9b79c..7dd3a0ec4 100644
--- a/test/unit/metadata.js
+++ b/test/unit/metadata.js
@@ -1774,6 +1774,10 @@ suite('Image metadata', () => {
       t.plan(1);
       t.assert.throws(() => sharp().withMetadata({ density: -1 }));
     });
+    test('Out of range density', (t) => {
+      t.plan(1);
+      t.assert.throws(() => sharp().withMetadata({ density: 100001 }), /Expected number between 1 and 100000 for density but received 100001 of type number/);
+    });
     test('Non string icc', (t) => {
       t.plan(1);
       t.assert.throws(() => sharp().withMetadata({ icc: true }));
@@ -1804,11 +1808,15 @@ suite('Image metadata', () => {
     });
     test('withDensity missing density', (t) => {
       t.plan(1);
-      t.assert.throws(() => sharp().withDensity(), /Expected positive number for density but received undefined of type undefined/);
+      t.assert.throws(() => sharp().withDensity(), /Expected number between 1 and 100000 for density but received undefined of type undefined/);
     });
     test('withDensity invalid density', (t) => {
       t.plan(1);
-      t.assert.throws(() => sharp().withDensity('invalid'), /Expected positive number for density but received invalid of type string/);
+      t.assert.throws(() => sharp().withDensity('invalid'), /Expected number between 1 and 100000 for density but received invalid of type string/);
+    });
+    test('withDensity out of range density', (t) => {
+      t.plan(1);
+      t.assert.throws(() => sharp().withDensity(100001), /Expected number between 1 and 100000 for density but received 100001 of type number/);
     });
   });
 });
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