Is 10337 a prime number?

10 337 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 10 337 is about 101.671.

Thus, the square root of 10 337 is not an integer, and therefore 10 337 is not a square number.

Anyway, 10 337 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 337) is the result of the product of this number (10 337) by itself (i.e., 10 337 × 10 337); the square of 10 337 is sometimes called "raising 10 337 to the power 2", or "10 337 squared".

The square of 10 337 is 106 853 569 because 10 337 × 10 337 = 10 337² = 106 853 569.

As a consequence, 10 337 is the square root of 106 853 569.

10 337 is a number with 5 digits.

The multiples of 10 337 are all integers evenly divisible by 10 337, that is all numbers such that the remainder of the division by 10 337 is zero. There are infinitely many multiples of 10 337. The smallest multiples of 10 337 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 337 too, since 0 × 10 337 = 0
• 10 337: indeed, 10 337 is a multiple of itself, since 10 337 is evenly divisible by 10 337 (we have 10 337 / 10 337 = 1, so the remainder of this division is indeed zero)
• 20 674: indeed, 20 674 = 10 337 × 2
• 31 011: indeed, 31 011 = 10 337 × 3
• 41 348: indeed, 41 348 = 10 337 × 4
• 51 685: indeed, 51 685 = 10 337 × 5
• etc.

• Preceding numbers: …10 335, 10 336
• Following numbers: 10 338, 10 339…

Nearest numbers from 10 337

• Preceding prime number: 10 333
• Following prime number: 10 343

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• 10 337 est-il un nombre premier ?