Is 13523 a prime number?

13 523 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 13 523 is about 116.288.

Thus, the square root of 13 523 is not an integer, and therefore 13 523 is not a square number.

Anyway, 13 523 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 13 523) is the result of the product of this number (13 523) by itself (i.e., 13 523 × 13 523); the square of 13 523 is sometimes called "raising 13 523 to the power 2", or "13 523 squared".

The square of 13 523 is 182 871 529 because 13 523 × 13 523 = 13 523² = 182 871 529.

As a consequence, 13 523 is the square root of 182 871 529.

13 523 is a number with 5 digits.

The multiples of 13 523 are all integers evenly divisible by 13 523, that is all numbers such that the remainder of the division by 13 523 is zero. There are infinitely many multiples of 13 523. The smallest multiples of 13 523 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 523 too, since 0 × 13 523 = 0
• 13 523: indeed, 13 523 is a multiple of itself, since 13 523 is evenly divisible by 13 523 (we have 13 523 / 13 523 = 1, so the remainder of this division is indeed zero)
• 27 046: indeed, 27 046 = 13 523 × 2
• 40 569: indeed, 40 569 = 13 523 × 3
• 54 092: indeed, 54 092 = 13 523 × 4
• 67 615: indeed, 67 615 = 13 523 × 5
• etc.

• Preceding numbers: …13 521, 13 522
• Following numbers: 13 524, 13 525…

Nearest numbers from 13 523

• Preceding prime number: 13 513
• Following prime number: 13 537

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• 13 523 est-il un nombre premier ?