Is 21937 a prime number?

21 937 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 21 937 is about 148.111.

Thus, the square root of 21 937 is not an integer, and therefore 21 937 is not a square number.

Anyway, 21 937 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 21 937) is the result of the product of this number (21 937) by itself (i.e., 21 937 × 21 937); the square of 21 937 is sometimes called "raising 21 937 to the power 2", or "21 937 squared".

The square of 21 937 is 481 231 969 because 21 937 × 21 937 = 21 937² = 481 231 969.

As a consequence, 21 937 is the square root of 481 231 969.

21 937 is a number with 5 digits.

The multiples of 21 937 are all integers evenly divisible by 21 937, that is all numbers such that the remainder of the division by 21 937 is zero. There are infinitely many multiples of 21 937. The smallest multiples of 21 937 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 21 937 too, since 0 × 21 937 = 0
• 21 937: indeed, 21 937 is a multiple of itself, since 21 937 is evenly divisible by 21 937 (we have 21 937 / 21 937 = 1, so the remainder of this division is indeed zero)
• 43 874: indeed, 43 874 = 21 937 × 2
• 65 811: indeed, 65 811 = 21 937 × 3
• 87 748: indeed, 87 748 = 21 937 × 4
• 109 685: indeed, 109 685 = 21 937 × 5
• etc.

• Preceding numbers: …21 935, 21 936
• Following numbers: 21 938, 21 939…

Nearest numbers from 21 937

• Preceding prime number: 21 929
• Following prime number: 21 943

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• 21 937 est-il un nombre premier ?