Is 37363 a prime number?

37 363 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 37 363 is about 193.295.

Thus, the square root of 37 363 is not an integer, and therefore 37 363 is not a square number.

Anyway, 37 363 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 363) is the result of the product of this number (37 363) by itself (i.e., 37 363 × 37 363); the square of 37 363 is sometimes called "raising 37 363 to the power 2", or "37 363 squared".

The square of 37 363 is 1 395 993 769 because 37 363 × 37 363 = 37 363² = 1 395 993 769.

As a consequence, 37 363 is the square root of 1 395 993 769.

37 363 is a number with 5 digits.

The multiples of 37 363 are all integers evenly divisible by 37 363, that is all numbers such that the remainder of the division by 37 363 is zero. There are infinitely many multiples of 37 363. The smallest multiples of 37 363 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 363 too, since 0 × 37 363 = 0
• 37 363: indeed, 37 363 is a multiple of itself, since 37 363 is evenly divisible by 37 363 (we have 37 363 / 37 363 = 1, so the remainder of this division is indeed zero)
• 74 726: indeed, 74 726 = 37 363 × 2
• 112 089: indeed, 112 089 = 37 363 × 3
• 149 452: indeed, 149 452 = 37 363 × 4
• 186 815: indeed, 186 815 = 37 363 × 5
• etc.

• Preceding numbers: …37 361, 37 362
• Following numbers: 37 364, 37 365…

Nearest numbers from 37 363

• Preceding prime number: 37 361
• Following prime number: 37 369

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• 37 363 est-il un nombre premier ?