Is 21801 a prime number?

21 801 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 21 801 is about 147.652.

Thus, the square root of 21 801 is not an integer, and therefore 21 801 is not a square number.

The square of a number (here 21 801) is the result of the product of this number (21 801) by itself (i.e., 21 801 × 21 801); the square of 21 801 is sometimes called "raising 21 801 to the power 2", or "21 801 squared".

The square of 21 801 is 475 283 601 because 21 801 × 21 801 = 21 801² = 475 283 601.

As a consequence, 21 801 is the square root of 475 283 601.

21 801 is a number with 5 digits.

The multiples of 21 801 are all integers evenly divisible by 21 801, that is all numbers such that the remainder of the division by 21 801 is zero. There are infinitely many multiples of 21 801. The smallest multiples of 21 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 21 801 too, since 0 × 21 801 = 0
• 21 801: indeed, 21 801 is a multiple of itself, since 21 801 is evenly divisible by 21 801 (we have 21 801 / 21 801 = 1, so the remainder of this division is indeed zero)
• 43 602: indeed, 43 602 = 21 801 × 2
• 65 403: indeed, 65 403 = 21 801 × 3
• 87 204: indeed, 87 204 = 21 801 × 4
• 109 005: indeed, 109 005 = 21 801 × 5
• etc.

• Preceding numbers: …21 799, 21 800
• Following numbers: 21 802, 21 803…

Nearest numbers from 21 801

• Preceding prime number: 21 799
• Following prime number: 21 803

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• 21 801 est-il un nombre premier ?