Is 31991 a prime number?

31 991 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 31 991 is about 178.860.

Thus, the square root of 31 991 is not an integer, and therefore 31 991 is not a square number.

Anyway, 31 991 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 31 991) is the result of the product of this number (31 991) by itself (i.e., 31 991 × 31 991); the square of 31 991 is sometimes called "raising 31 991 to the power 2", or "31 991 squared".

The square of 31 991 is 1 023 424 081 because 31 991 × 31 991 = 31 991² = 1 023 424 081.

As a consequence, 31 991 is the square root of 1 023 424 081.

31 991 is a number with 5 digits.

The multiples of 31 991 are all integers evenly divisible by 31 991, that is all numbers such that the remainder of the division by 31 991 is zero. There are infinitely many multiples of 31 991. The smallest multiples of 31 991 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 991 too, since 0 × 31 991 = 0
• 31 991: indeed, 31 991 is a multiple of itself, since 31 991 is evenly divisible by 31 991 (we have 31 991 / 31 991 = 1, so the remainder of this division is indeed zero)
• 63 982: indeed, 63 982 = 31 991 × 2
• 95 973: indeed, 95 973 = 31 991 × 3
• 127 964: indeed, 127 964 = 31 991 × 4
• 159 955: indeed, 159 955 = 31 991 × 5
• etc.

• Preceding numbers: …31 989, 31 990
• Following numbers: 31 992, 31 993…

Nearest numbers from 31 991

• Preceding prime number: 31 981
• Following prime number: 32 003

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• 31 991 est-il un nombre premier ?