Is 501997 a prime number?

501 997 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 501 997 is about 708.517.

Thus, the square root of 501 997 is not an integer, and therefore 501 997 is not a square number.

Anyway, 501 997 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 501 997) is the result of the product of this number (501 997) by itself (i.e., 501 997 × 501 997); the square of 501 997 is sometimes called "raising 501 997 to the power 2", or "501 997 squared".

The square of 501 997 is 252 000 988 009 because 501 997 × 501 997 = 501 997² = 252 000 988 009.

As a consequence, 501 997 is the square root of 252 000 988 009.

501 997 is a number with 6 digits.

The multiples of 501 997 are all integers evenly divisible by 501 997, that is all numbers such that the remainder of the division by 501 997 is zero. There are infinitely many multiples of 501 997. The smallest multiples of 501 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 501 997 too, since 0 × 501 997 = 0
• 501 997: indeed, 501 997 is a multiple of itself, since 501 997 is evenly divisible by 501 997 (we have 501 997 / 501 997 = 1, so the remainder of this division is indeed zero)
• 1 003 994: indeed, 1 003 994 = 501 997 × 2
• 1 505 991: indeed, 1 505 991 = 501 997 × 3
• 2 007 988: indeed, 2 007 988 = 501 997 × 4
• 2 509 985: indeed, 2 509 985 = 501 997 × 5
• etc.

• Preceding numbers: …501 995, 501 996
• Following numbers: 501 998, 501 999…

Nearest numbers from 501 997

• Preceding prime number: 501 971
• Following prime number: 502 001

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• 501 997 est-il un nombre premier ?