Is 8501 a prime number?

8 501 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 8 501 is about 92.201.

Thus, the square root of 8 501 is not an integer, and therefore 8 501 is not a square number.

Anyway, 8 501 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 8 501) is the result of the product of this number (8 501) by itself (i.e., 8 501 × 8 501); the square of 8 501 is sometimes called "raising 8 501 to the power 2", or "8 501 squared".

The square of 8 501 is 72 267 001 because 8 501 × 8 501 = 8 501² = 72 267 001.

As a consequence, 8 501 is the square root of 72 267 001.

8 501 is a number with 4 digits.

The multiples of 8 501 are all integers evenly divisible by 8 501, that is all numbers such that the remainder of the division by 8 501 is zero. There are infinitely many multiples of 8 501. The smallest multiples of 8 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8 501 too, since 0 × 8 501 = 0
• 8 501: indeed, 8 501 is a multiple of itself, since 8 501 is evenly divisible by 8 501 (we have 8 501 / 8 501 = 1, so the remainder of this division is indeed zero)
• 17 002: indeed, 17 002 = 8 501 × 2
• 25 503: indeed, 25 503 = 8 501 × 3
• 34 004: indeed, 34 004 = 8 501 × 4
• 42 505: indeed, 42 505 = 8 501 × 5
• etc.

• Preceding numbers: …8 499, 8 500
• Following numbers: 8 502, 8 503…

Nearest numbers from 8 501

• Preceding prime number: 8 467
• Following prime number: 8 513

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• 8 501 est-il un nombre premier ?