Is 501971 a prime number?

501 971 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 501 971 is about 708.499.

Thus, the square root of 501 971 is not an integer, and therefore 501 971 is not a square number.

Anyway, 501 971 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 501 971) is the result of the product of this number (501 971) by itself (i.e., 501 971 × 501 971); the square of 501 971 is sometimes called "raising 501 971 to the power 2", or "501 971 squared".

The square of 501 971 is 251 974 884 841 because 501 971 × 501 971 = 501 971² = 251 974 884 841.

As a consequence, 501 971 is the square root of 251 974 884 841.

501 971 is a number with 6 digits.

The multiples of 501 971 are all integers evenly divisible by 501 971, that is all numbers such that the remainder of the division by 501 971 is zero. There are infinitely many multiples of 501 971. The smallest multiples of 501 971 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 501 971 too, since 0 × 501 971 = 0
• 501 971: indeed, 501 971 is a multiple of itself, since 501 971 is evenly divisible by 501 971 (we have 501 971 / 501 971 = 1, so the remainder of this division is indeed zero)
• 1 003 942: indeed, 1 003 942 = 501 971 × 2
• 1 505 913: indeed, 1 505 913 = 501 971 × 3
• 2 007 884: indeed, 2 007 884 = 501 971 × 4
• 2 509 855: indeed, 2 509 855 = 501 971 × 5
• etc.

• Preceding numbers: …501 969, 501 970
• Following numbers: 501 972, 501 973…

Nearest numbers from 501 971

• Preceding prime number: 501 967
• Following prime number: 501 997

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• 501 971 est-il un nombre premier ?