Is 31973 a prime number?

31 973 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 31 973 is about 178.810.

Thus, the square root of 31 973 is not an integer, and therefore 31 973 is not a square number.

Anyway, 31 973 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 31 973) is the result of the product of this number (31 973) by itself (i.e., 31 973 × 31 973); the square of 31 973 is sometimes called "raising 31 973 to the power 2", or "31 973 squared".

The square of 31 973 is 1 022 272 729 because 31 973 × 31 973 = 31 973² = 1 022 272 729.

As a consequence, 31 973 is the square root of 1 022 272 729.

31 973 is a number with 5 digits.

The multiples of 31 973 are all integers evenly divisible by 31 973, that is all numbers such that the remainder of the division by 31 973 is zero. There are infinitely many multiples of 31 973. The smallest multiples of 31 973 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 973 too, since 0 × 31 973 = 0
• 31 973: indeed, 31 973 is a multiple of itself, since 31 973 is evenly divisible by 31 973 (we have 31 973 / 31 973 = 1, so the remainder of this division is indeed zero)
• 63 946: indeed, 63 946 = 31 973 × 2
• 95 919: indeed, 95 919 = 31 973 × 3
• 127 892: indeed, 127 892 = 31 973 × 4
• 159 865: indeed, 159 865 = 31 973 × 5
• etc.

• Preceding numbers: …31 971, 31 972
• Following numbers: 31 974, 31 975…

Nearest numbers from 31 973

• Preceding prime number: 31 963
• Following prime number: 31 981

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• 31 973 est-il un nombre premier ?