Is 3637 a prime number?

3 637 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 3 637 is about 60.308.

Thus, the square root of 3 637 is not an integer, and therefore 3 637 is not a square number.

Anyway, 3 637 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 637) is the result of the product of this number (3 637) by itself (i.e., 3 637 × 3 637); the square of 3 637 is sometimes called "raising 3 637 to the power 2", or "3 637 squared".

The square of 3 637 is 13 227 769 because 3 637 × 3 637 = 3 637² = 13 227 769.

As a consequence, 3 637 is the square root of 13 227 769.

3 637 is a number with 4 digits.

The multiples of 3 637 are all integers evenly divisible by 3 637, that is all numbers such that the remainder of the division by 3 637 is zero. There are infinitely many multiples of 3 637. The smallest multiples of 3 637 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 637 too, since 0 × 3 637 = 0
• 3 637: indeed, 3 637 is a multiple of itself, since 3 637 is evenly divisible by 3 637 (we have 3 637 / 3 637 = 1, so the remainder of this division is indeed zero)
• 7 274: indeed, 7 274 = 3 637 × 2
• 10 911: indeed, 10 911 = 3 637 × 3
• 14 548: indeed, 14 548 = 3 637 × 4
• 18 185: indeed, 18 185 = 3 637 × 5
• etc.

• Preceding numbers: …3 635, 3 636
• Following numbers: 3 638, 3 639…

Nearest numbers from 3 637

• Preceding prime number: 3 631
• Following prime number: 3 643

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• 3 637 est-il un nombre premier ?