Is 31721 a prime number?

31 721 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 31 721 is about 178.104.

Thus, the square root of 31 721 is not an integer, and therefore 31 721 is not a square number.

Anyway, 31 721 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 31 721) is the result of the product of this number (31 721) by itself (i.e., 31 721 × 31 721); the square of 31 721 is sometimes called "raising 31 721 to the power 2", or "31 721 squared".

The square of 31 721 is 1 006 221 841 because 31 721 × 31 721 = 31 721² = 1 006 221 841.

As a consequence, 31 721 is the square root of 1 006 221 841.

31 721 is a number with 5 digits.

The multiples of 31 721 are all integers evenly divisible by 31 721, that is all numbers such that the remainder of the division by 31 721 is zero. There are infinitely many multiples of 31 721. The smallest multiples of 31 721 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 721 too, since 0 × 31 721 = 0
• 31 721: indeed, 31 721 is a multiple of itself, since 31 721 is evenly divisible by 31 721 (we have 31 721 / 31 721 = 1, so the remainder of this division is indeed zero)
• 63 442: indeed, 63 442 = 31 721 × 2
• 95 163: indeed, 95 163 = 31 721 × 3
• 126 884: indeed, 126 884 = 31 721 × 4
• 158 605: indeed, 158 605 = 31 721 × 5
• etc.

• Preceding numbers: …31 719, 31 720
• Following numbers: 31 722, 31 723…

Nearest numbers from 31 721

• Preceding prime number: 31 699
• Following prime number: 31 723

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• 31 721 est-il un nombre premier ?