Is 21701 a prime number?

21 701 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 21 701 is about 147.313.

Thus, the square root of 21 701 is not an integer, and therefore 21 701 is not a square number.

Anyway, 21 701 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 21 701) is the result of the product of this number (21 701) by itself (i.e., 21 701 × 21 701); the square of 21 701 is sometimes called "raising 21 701 to the power 2", or "21 701 squared".

The square of 21 701 is 470 933 401 because 21 701 × 21 701 = 21 701² = 470 933 401.

As a consequence, 21 701 is the square root of 470 933 401.

21 701 is a number with 5 digits.

The multiples of 21 701 are all integers evenly divisible by 21 701, that is all numbers such that the remainder of the division by 21 701 is zero. There are infinitely many multiples of 21 701. The smallest multiples of 21 701 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 21 701 too, since 0 × 21 701 = 0
• 21 701: indeed, 21 701 is a multiple of itself, since 21 701 is evenly divisible by 21 701 (we have 21 701 / 21 701 = 1, so the remainder of this division is indeed zero)
• 43 402: indeed, 43 402 = 21 701 × 2
• 65 103: indeed, 65 103 = 21 701 × 3
• 86 804: indeed, 86 804 = 21 701 × 4
• 108 505: indeed, 108 505 = 21 701 × 5
• etc.

• Preceding numbers: …21 699, 21 700
• Following numbers: 21 702, 21 703…

Nearest numbers from 21 701

• Preceding prime number: 21 683
• Following prime number: 21 713

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• 21 701 est-il un nombre premier ?