Is 37997 a prime number?

37 997 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 37 997 is about 194.928.

Thus, the square root of 37 997 is not an integer, and therefore 37 997 is not a square number.

Anyway, 37 997 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 997) is the result of the product of this number (37 997) by itself (i.e., 37 997 × 37 997); the square of 37 997 is sometimes called "raising 37 997 to the power 2", or "37 997 squared".

The square of 37 997 is 1 443 772 009 because 37 997 × 37 997 = 37 997² = 1 443 772 009.

As a consequence, 37 997 is the square root of 1 443 772 009.

37 997 is a number with 5 digits.

The multiples of 37 997 are all integers evenly divisible by 37 997, that is all numbers such that the remainder of the division by 37 997 is zero. There are infinitely many multiples of 37 997. The smallest multiples of 37 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 997 too, since 0 × 37 997 = 0
• 37 997: indeed, 37 997 is a multiple of itself, since 37 997 is evenly divisible by 37 997 (we have 37 997 / 37 997 = 1, so the remainder of this division is indeed zero)
• 75 994: indeed, 75 994 = 37 997 × 2
• 113 991: indeed, 113 991 = 37 997 × 3
• 151 988: indeed, 151 988 = 37 997 × 4
• 189 985: indeed, 189 985 = 37 997 × 5
• etc.

• Preceding numbers: …37 995, 37 996
• Following numbers: 37 998, 37 999…

Nearest numbers from 37 997

• Preceding prime number: 37 993
• Following prime number: 38 011

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• 37 997 est-il un nombre premier ?