Is 10837 a prime number?

10 837 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 10 837 is about 104.101.

Thus, the square root of 10 837 is not an integer, and therefore 10 837 is not a square number.

Anyway, 10 837 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 837) is the result of the product of this number (10 837) by itself (i.e., 10 837 × 10 837); the square of 10 837 is sometimes called "raising 10 837 to the power 2", or "10 837 squared".

The square of 10 837 is 117 440 569 because 10 837 × 10 837 = 10 837² = 117 440 569.

As a consequence, 10 837 is the square root of 117 440 569.

10 837 is a number with 5 digits.

The multiples of 10 837 are all integers evenly divisible by 10 837, that is all numbers such that the remainder of the division by 10 837 is zero. There are infinitely many multiples of 10 837. The smallest multiples of 10 837 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 837 too, since 0 × 10 837 = 0
• 10 837: indeed, 10 837 is a multiple of itself, since 10 837 is evenly divisible by 10 837 (we have 10 837 / 10 837 = 1, so the remainder of this division is indeed zero)
• 21 674: indeed, 21 674 = 10 837 × 2
• 32 511: indeed, 32 511 = 10 837 × 3
• 43 348: indeed, 43 348 = 10 837 × 4
• 54 185: indeed, 54 185 = 10 837 × 5
• etc.

• Preceding numbers: …10 835, 10 836
• Following numbers: 10 838, 10 839…

Nearest numbers from 10 837

• Preceding prime number: 10 831
• Following prime number: 10 847

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• 10 837 est-il un nombre premier ?