Is 37961 a prime number?

37 961 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 37 961 is about 194.836.

Thus, the square root of 37 961 is not an integer, and therefore 37 961 is not a square number.

The square of a number (here 37 961) is the result of the product of this number (37 961) by itself (i.e., 37 961 × 37 961); the square of 37 961 is sometimes called "raising 37 961 to the power 2", or "37 961 squared".

The square of 37 961 is 1 441 037 521 because 37 961 × 37 961 = 37 961² = 1 441 037 521.

As a consequence, 37 961 is the square root of 1 441 037 521.

37 961 is a number with 5 digits.

The multiples of 37 961 are all integers evenly divisible by 37 961, that is all numbers such that the remainder of the division by 37 961 is zero. There are infinitely many multiples of 37 961. The smallest multiples of 37 961 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 961 too, since 0 × 37 961 = 0
• 37 961: indeed, 37 961 is a multiple of itself, since 37 961 is evenly divisible by 37 961 (we have 37 961 / 37 961 = 1, so the remainder of this division is indeed zero)
• 75 922: indeed, 75 922 = 37 961 × 2
• 113 883: indeed, 113 883 = 37 961 × 3
• 151 844: indeed, 151 844 = 37 961 × 4
• 189 805: indeed, 189 805 = 37 961 × 5
• etc.

• Preceding numbers: …37 959, 37 960
• Following numbers: 37 962, 37 963…

Nearest numbers from 37 961

• Preceding prime number: 37 957
• Following prime number: 37 963

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• 37 961 est-il un nombre premier ?