Is 37991 a prime number?

37 991 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 37 991 is about 194.913.

Thus, the square root of 37 991 is not an integer, and therefore 37 991 is not a square number.

Anyway, 37 991 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 991) is the result of the product of this number (37 991) by itself (i.e., 37 991 × 37 991); the square of 37 991 is sometimes called "raising 37 991 to the power 2", or "37 991 squared".

The square of 37 991 is 1 443 316 081 because 37 991 × 37 991 = 37 991² = 1 443 316 081.

As a consequence, 37 991 is the square root of 1 443 316 081.

37 991 is a number with 5 digits.

The multiples of 37 991 are all integers evenly divisible by 37 991, that is all numbers such that the remainder of the division by 37 991 is zero. There are infinitely many multiples of 37 991. The smallest multiples of 37 991 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 991 too, since 0 × 37 991 = 0
• 37 991: indeed, 37 991 is a multiple of itself, since 37 991 is evenly divisible by 37 991 (we have 37 991 / 37 991 = 1, so the remainder of this division is indeed zero)
• 75 982: indeed, 75 982 = 37 991 × 2
• 113 973: indeed, 113 973 = 37 991 × 3
• 151 964: indeed, 151 964 = 37 991 × 4
• 189 955: indeed, 189 955 = 37 991 × 5
• etc.

• Preceding numbers: …37 989, 37 990
• Following numbers: 37 992, 37 993…

Nearest numbers from 37 991

• Preceding prime number: 37 987
• Following prime number: 37 993

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• 37 991 est-il un nombre premier ?