Is 23501 a prime number?

23 501 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 23 501 is about 153.300.

Thus, the square root of 23 501 is not an integer, and therefore 23 501 is not a square number.

The square of a number (here 23 501) is the result of the product of this number (23 501) by itself (i.e., 23 501 × 23 501); the square of 23 501 is sometimes called "raising 23 501 to the power 2", or "23 501 squared".

The square of 23 501 is 552 297 001 because 23 501 × 23 501 = 23 501² = 552 297 001.

As a consequence, 23 501 is the square root of 552 297 001.

23 501 is a number with 5 digits.

The multiples of 23 501 are all integers evenly divisible by 23 501, that is all numbers such that the remainder of the division by 23 501 is zero. There are infinitely many multiples of 23 501. The smallest multiples of 23 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 23 501 too, since 0 × 23 501 = 0
• 23 501: indeed, 23 501 is a multiple of itself, since 23 501 is evenly divisible by 23 501 (we have 23 501 / 23 501 = 1, so the remainder of this division is indeed zero)
• 47 002: indeed, 47 002 = 23 501 × 2
• 70 503: indeed, 70 503 = 23 501 × 3
• 94 004: indeed, 94 004 = 23 501 × 4
• 117 505: indeed, 117 505 = 23 501 × 5
• etc.

• Preceding numbers: …23 499, 23 500
• Following numbers: 23 502, 23 503…

Nearest numbers from 23 501

• Preceding prime number: 23 497
• Following prime number: 23 509

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• 23 501 est-il un nombre premier ?