Is 31997 a prime number?

31 997 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 31 997 is about 178.877.

Thus, the square root of 31 997 is not an integer, and therefore 31 997 is not a square number.

The square of a number (here 31 997) is the result of the product of this number (31 997) by itself (i.e., 31 997 × 31 997); the square of 31 997 is sometimes called "raising 31 997 to the power 2", or "31 997 squared".

The square of 31 997 is 1 023 808 009 because 31 997 × 31 997 = 31 997² = 1 023 808 009.

As a consequence, 31 997 is the square root of 1 023 808 009.

31 997 is a number with 5 digits.

The multiples of 31 997 are all integers evenly divisible by 31 997, that is all numbers such that the remainder of the division by 31 997 is zero. There are infinitely many multiples of 31 997. The smallest multiples of 31 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 997 too, since 0 × 31 997 = 0
• 31 997: indeed, 31 997 is a multiple of itself, since 31 997 is evenly divisible by 31 997 (we have 31 997 / 31 997 = 1, so the remainder of this division is indeed zero)
• 63 994: indeed, 63 994 = 31 997 × 2
• 95 991: indeed, 95 991 = 31 997 × 3
• 127 988: indeed, 127 988 = 31 997 × 4
• 159 985: indeed, 159 985 = 31 997 × 5
• etc.

• Preceding numbers: …31 995, 31 996
• Following numbers: 31 998, 31 999…

Nearest numbers from 31 997

• Preceding prime number: 31 991
• Following prime number: 32 003

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• 31 997 est-il un nombre premier ?