Is 13697 a prime number?

13 697 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 13 697 is about 117.034.

Thus, the square root of 13 697 is not an integer, and therefore 13 697 is not a square number.

Anyway, 13 697 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 13 697) is the result of the product of this number (13 697) by itself (i.e., 13 697 × 13 697); the square of 13 697 is sometimes called "raising 13 697 to the power 2", or "13 697 squared".

The square of 13 697 is 187 607 809 because 13 697 × 13 697 = 13 697² = 187 607 809.

As a consequence, 13 697 is the square root of 187 607 809.

13 697 is a number with 5 digits.

The multiples of 13 697 are all integers evenly divisible by 13 697, that is all numbers such that the remainder of the division by 13 697 is zero. There are infinitely many multiples of 13 697. The smallest multiples of 13 697 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 697 too, since 0 × 13 697 = 0
• 13 697: indeed, 13 697 is a multiple of itself, since 13 697 is evenly divisible by 13 697 (we have 13 697 / 13 697 = 1, so the remainder of this division is indeed zero)
• 27 394: indeed, 27 394 = 13 697 × 2
• 41 091: indeed, 41 091 = 13 697 × 3
• 54 788: indeed, 54 788 = 13 697 × 4
• 68 485: indeed, 68 485 = 13 697 × 5
• etc.

• Preceding numbers: …13 695, 13 696
• Following numbers: 13 698, 13 699…

Nearest numbers from 13 697

• Preceding prime number: 13 693
• Following prime number: 13 709

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• 13 697 est-il un nombre premier ?