Is 13649 a prime number?

13 649 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 13 649 is about 116.829.

Thus, the square root of 13 649 is not an integer, and therefore 13 649 is not a square number.

Anyway, 13 649 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 13 649) is the result of the product of this number (13 649) by itself (i.e., 13 649 × 13 649); the square of 13 649 is sometimes called "raising 13 649 to the power 2", or "13 649 squared".

The square of 13 649 is 186 295 201 because 13 649 × 13 649 = 13 649² = 186 295 201.

As a consequence, 13 649 is the square root of 186 295 201.

13 649 is a number with 5 digits.

The multiples of 13 649 are all integers evenly divisible by 13 649, that is all numbers such that the remainder of the division by 13 649 is zero. There are infinitely many multiples of 13 649. The smallest multiples of 13 649 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 649 too, since 0 × 13 649 = 0
• 13 649: indeed, 13 649 is a multiple of itself, since 13 649 is evenly divisible by 13 649 (we have 13 649 / 13 649 = 1, so the remainder of this division is indeed zero)
• 27 298: indeed, 27 298 = 13 649 × 2
• 40 947: indeed, 40 947 = 13 649 × 3
• 54 596: indeed, 54 596 = 13 649 × 4
• 68 245: indeed, 68 245 = 13 649 × 5
• etc.

• Preceding numbers: …13 647, 13 648
• Following numbers: 13 650, 13 651…

Nearest numbers from 13 649

• Preceding prime number: 13 633
• Following prime number: 13 669

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• 13 649 est-il un nombre premier ?