Is 31667 a prime number?

31 667 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 31 667 is about 177.952.

Thus, the square root of 31 667 is not an integer, and therefore 31 667 is not a square number.

Anyway, 31 667 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 31 667) is the result of the product of this number (31 667) by itself (i.e., 31 667 × 31 667); the square of 31 667 is sometimes called "raising 31 667 to the power 2", or "31 667 squared".

The square of 31 667 is 1 002 798 889 because 31 667 × 31 667 = 31 667² = 1 002 798 889.

As a consequence, 31 667 is the square root of 1 002 798 889.

31 667 is a number with 5 digits.

The multiples of 31 667 are all integers evenly divisible by 31 667, that is all numbers such that the remainder of the division by 31 667 is zero. There are infinitely many multiples of 31 667. The smallest multiples of 31 667 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 667 too, since 0 × 31 667 = 0
• 31 667: indeed, 31 667 is a multiple of itself, since 31 667 is evenly divisible by 31 667 (we have 31 667 / 31 667 = 1, so the remainder of this division is indeed zero)
• 63 334: indeed, 63 334 = 31 667 × 2
• 95 001: indeed, 95 001 = 31 667 × 3
• 126 668: indeed, 126 668 = 31 667 × 4
• 158 335: indeed, 158 335 = 31 667 × 5
• etc.

• Preceding numbers: …31 665, 31 666
• Following numbers: 31 668, 31 669…

Nearest numbers from 31 667

• Preceding prime number: 31 663
• Following prime number: 31 687

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• 31 667 est-il un nombre premier ?