diff --git a/src/compat/predicate/isNaN.spec.ts b/src/compat/predicate/isNaN.spec.ts
index 68511ceab..4eb9fefbb 100644
--- a/src/compat/predicate/isNaN.spec.ts
+++ b/src/compat/predicate/isNaN.spec.ts
@@ -9,6 +9,15 @@ describe('isNaN', () => {
 
   it('should return `false` for non-NaN numbers', () => {
     expect(isNaN(0)).toBe(false);
+    expect(isNaN(new Number(0))).toBe(false);
+  });
+
+  it('should return `true` for boxed NaN', () => {
+    expect(isNaN(new Number(NaN))).toBe(true);
+  });
+
+  it('should return `false` for objects inheriting Number.prototype without number data', () => {
+    expect(isNaN(Object.create(Number.prototype))).toBe(false);
   });
 
   it('should return `false` for non-numbers', () => {
diff --git a/src/compat/predicate/isNaN.ts b/src/compat/predicate/isNaN.ts
index 250d94826..dbe31a509 100644
--- a/src/compat/predicate/isNaN.ts
+++ b/src/compat/predicate/isNaN.ts
@@ -1,3 +1,5 @@
+import { isNumber } from './isNumber';
+
 /**
  * Checks if the value is NaN.
  *
@@ -11,5 +13,5 @@
  * isNaN(undefined); // false
  */
 export function isNaN(value?: any): boolean {
-  return Number.isNaN(value);
+  return isNumber(value) && Number.isNaN(Number(value));
 }
diff --git a/src/compat/predicate/isNumber.spec.ts b/src/compat/predicate/isNumber.spec.ts
index 9f86dda98..ee72f1985 100644
--- a/src/compat/predicate/isNumber.spec.ts
+++ b/src/compat/predicate/isNumber.spec.ts
@@ -56,6 +56,10 @@ describe('isNumber', () => {
     expect(isNumber(symbol)).toBe(false);
   });
 
+  it('should return `false` for objects inheriting Number.prototype without number data', () => {
+    expect(isNumber(Object.create(Number.prototype))).toBe(false);
+  });
+
   it('should match the type of lodash', () => {
     expectTypeOf(isNumber).toEqualTypeOf<typeof isNumberLodash>();
   });
diff --git a/src/compat/predicate/isNumber.ts b/src/compat/predicate/isNumber.ts
index b52b678c1..7c54ed26c 100644
--- a/src/compat/predicate/isNumber.ts
+++ b/src/compat/predicate/isNumber.ts
@@ -1,3 +1,7 @@
+import { isObjectLike } from './isObjectLike.ts';
+import { getTag } from '../_internal/getTag.ts';
+import { numberTag } from '../_internal/tags.ts';
+
 /**
  * Checks if a given value is a number.
  *
@@ -16,5 +20,5 @@
  * console.log(isNumber(value3)); // false
  */
 export function isNumber(value?: any): value is number {
-  return typeof value === 'number' || value instanceof Number;
+  return typeof value === 'number' || (isObjectLike(value) && getTag(value) === numberTag);
 }