Is 25997 a prime number?

25 997 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 25 997 is about 161.236.

Thus, the square root of 25 997 is not an integer, and therefore 25 997 is not a square number.

Anyway, 25 997 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 25 997) is the result of the product of this number (25 997) by itself (i.e., 25 997 × 25 997); the square of 25 997 is sometimes called "raising 25 997 to the power 2", or "25 997 squared".

The square of 25 997 is 675 844 009 because 25 997 × 25 997 = 25 997² = 675 844 009.

As a consequence, 25 997 is the square root of 675 844 009.

25 997 is a number with 5 digits.

The multiples of 25 997 are all integers evenly divisible by 25 997, that is all numbers such that the remainder of the division by 25 997 is zero. There are infinitely many multiples of 25 997. The smallest multiples of 25 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 25 997 too, since 0 × 25 997 = 0
• 25 997: indeed, 25 997 is a multiple of itself, since 25 997 is evenly divisible by 25 997 (we have 25 997 / 25 997 = 1, so the remainder of this division is indeed zero)
• 51 994: indeed, 51 994 = 25 997 × 2
• 77 991: indeed, 77 991 = 25 997 × 3
• 103 988: indeed, 103 988 = 25 997 × 4
• 129 985: indeed, 129 985 = 25 997 × 5
• etc.

• Preceding numbers: …25 995, 25 996
• Following numbers: 25 998, 25 999…

Nearest numbers from 25 997

• Preceding prime number: 25 981
• Following prime number: 25 999

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• 25 997 est-il un nombre premier ?