Is 31513 a prime number?

31 513 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 31 513 is about 177.519.

Thus, the square root of 31 513 is not an integer, and therefore 31 513 is not a square number.

Anyway, 31 513 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 31 513) is the result of the product of this number (31 513) by itself (i.e., 31 513 × 31 513); the square of 31 513 is sometimes called "raising 31 513 to the power 2", or "31 513 squared".

The square of 31 513 is 993 069 169 because 31 513 × 31 513 = 31 513² = 993 069 169.

As a consequence, 31 513 is the square root of 993 069 169.

31 513 is a number with 5 digits.

The multiples of 31 513 are all integers evenly divisible by 31 513, that is all numbers such that the remainder of the division by 31 513 is zero. There are infinitely many multiples of 31 513. The smallest multiples of 31 513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 513 too, since 0 × 31 513 = 0
• 31 513: indeed, 31 513 is a multiple of itself, since 31 513 is evenly divisible by 31 513 (we have 31 513 / 31 513 = 1, so the remainder of this division is indeed zero)
• 63 026: indeed, 63 026 = 31 513 × 2
• 94 539: indeed, 94 539 = 31 513 × 3
• 126 052: indeed, 126 052 = 31 513 × 4
• 157 565: indeed, 157 565 = 31 513 × 5
• etc.

• Preceding numbers: …31 511, 31 512
• Following numbers: 31 514, 31 515…

Nearest numbers from 31 513

• Preceding prime number: 31 511
• Following prime number: 31 517

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• 31 513 est-il un nombre premier ?