Is 37643 a prime number?

37 643 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 37 643 is about 194.018.

Thus, the square root of 37 643 is not an integer, and therefore 37 643 is not a square number.

Anyway, 37 643 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 643) is the result of the product of this number (37 643) by itself (i.e., 37 643 × 37 643); the square of 37 643 is sometimes called "raising 37 643 to the power 2", or "37 643 squared".

The square of 37 643 is 1 416 995 449 because 37 643 × 37 643 = 37 643² = 1 416 995 449.

As a consequence, 37 643 is the square root of 1 416 995 449.

37 643 is a number with 5 digits.

The multiples of 37 643 are all integers evenly divisible by 37 643, that is all numbers such that the remainder of the division by 37 643 is zero. There are infinitely many multiples of 37 643. The smallest multiples of 37 643 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 643 too, since 0 × 37 643 = 0
• 37 643: indeed, 37 643 is a multiple of itself, since 37 643 is evenly divisible by 37 643 (we have 37 643 / 37 643 = 1, so the remainder of this division is indeed zero)
• 75 286: indeed, 75 286 = 37 643 × 2
• 112 929: indeed, 112 929 = 37 643 × 3
• 150 572: indeed, 150 572 = 37 643 × 4
• 188 215: indeed, 188 215 = 37 643 × 5
• etc.

• Preceding numbers: …37 641, 37 642
• Following numbers: 37 644, 37 645…

Nearest numbers from 37 643

• Preceding prime number: 37 633
• Following prime number: 37 649

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• 37 643 est-il un nombre premier ?