Is 37117 a prime number?

37 117 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 37 117 is about 192.658.

Thus, the square root of 37 117 is not an integer, and therefore 37 117 is not a square number.

Anyway, 37 117 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 117) is the result of the product of this number (37 117) by itself (i.e., 37 117 × 37 117); the square of 37 117 is sometimes called "raising 37 117 to the power 2", or "37 117 squared".

The square of 37 117 is 1 377 671 689 because 37 117 × 37 117 = 37 117² = 1 377 671 689.

As a consequence, 37 117 is the square root of 1 377 671 689.

37 117 is a number with 5 digits.

The multiples of 37 117 are all integers evenly divisible by 37 117, that is all numbers such that the remainder of the division by 37 117 is zero. There are infinitely many multiples of 37 117. The smallest multiples of 37 117 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 117 too, since 0 × 37 117 = 0
• 37 117: indeed, 37 117 is a multiple of itself, since 37 117 is evenly divisible by 37 117 (we have 37 117 / 37 117 = 1, so the remainder of this division is indeed zero)
• 74 234: indeed, 74 234 = 37 117 × 2
• 111 351: indeed, 111 351 = 37 117 × 3
• 148 468: indeed, 148 468 = 37 117 × 4
• 185 585: indeed, 185 585 = 37 117 × 5
• etc.

• Preceding numbers: …37 115, 37 116
• Following numbers: 37 118, 37 119…

Nearest numbers from 37 117

• Preceding prime number: 37 097
• Following prime number: 37 123

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• 37 117 est-il un nombre premier ?