Is 37813 a prime number?

37 813 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 37 813 is about 194.456.

Thus, the square root of 37 813 is not an integer, and therefore 37 813 is not a square number.

Anyway, 37 813 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 813) is the result of the product of this number (37 813) by itself (i.e., 37 813 × 37 813); the square of 37 813 is sometimes called "raising 37 813 to the power 2", or "37 813 squared".

The square of 37 813 is 1 429 822 969 because 37 813 × 37 813 = 37 813² = 1 429 822 969.

As a consequence, 37 813 is the square root of 1 429 822 969.

37 813 is a number with 5 digits.

The multiples of 37 813 are all integers evenly divisible by 37 813, that is all numbers such that the remainder of the division by 37 813 is zero. There are infinitely many multiples of 37 813. The smallest multiples of 37 813 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 813 too, since 0 × 37 813 = 0
• 37 813: indeed, 37 813 is a multiple of itself, since 37 813 is evenly divisible by 37 813 (we have 37 813 / 37 813 = 1, so the remainder of this division is indeed zero)
• 75 626: indeed, 75 626 = 37 813 × 2
• 113 439: indeed, 113 439 = 37 813 × 3
• 151 252: indeed, 151 252 = 37 813 × 4
• 189 065: indeed, 189 065 = 37 813 × 5
• etc.

• Preceding numbers: …37 811, 37 812
• Following numbers: 37 814, 37 815…

Nearest numbers from 37 813

• Preceding prime number: 37 811
• Following prime number: 37 831

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• 37 813 est-il un nombre premier ?