Is 3697 a prime number?

3 697 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 3 697 is about 60.803.

Thus, the square root of 3 697 is not an integer, and therefore 3 697 is not a square number.

Anyway, 3 697 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 697) is the result of the product of this number (3 697) by itself (i.e., 3 697 × 3 697); the square of 3 697 is sometimes called "raising 3 697 to the power 2", or "3 697 squared".

The square of 3 697 is 13 667 809 because 3 697 × 3 697 = 3 697² = 13 667 809.

As a consequence, 3 697 is the square root of 13 667 809.

3 697 is a number with 4 digits.

The multiples of 3 697 are all integers evenly divisible by 3 697, that is all numbers such that the remainder of the division by 3 697 is zero. There are infinitely many multiples of 3 697. The smallest multiples of 3 697 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 697 too, since 0 × 3 697 = 0
• 3 697: indeed, 3 697 is a multiple of itself, since 3 697 is evenly divisible by 3 697 (we have 3 697 / 3 697 = 1, so the remainder of this division is indeed zero)
• 7 394: indeed, 7 394 = 3 697 × 2
• 11 091: indeed, 11 091 = 3 697 × 3
• 14 788: indeed, 14 788 = 3 697 × 4
• 18 485: indeed, 18 485 = 3 697 × 5
• etc.

• Preceding numbers: …3 695, 3 696
• Following numbers: 3 698, 3 699…

Nearest numbers from 3 697

• Preceding prime number: 3 691
• Following prime number: 3 701

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• 3 697 est-il un nombre premier ?