Is 967501 a prime number?

967 501 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 967 501 is about 983.616.

Thus, the square root of 967 501 is not an integer, and therefore 967 501 is not a square number.

Anyway, 967 501 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 967 501) is the result of the product of this number (967 501) by itself (i.e., 967 501 × 967 501); the square of 967 501 is sometimes called "raising 967 501 to the power 2", or "967 501 squared".

The square of 967 501 is 936 058 185 001 because 967 501 × 967 501 = 967 501² = 936 058 185 001.

As a consequence, 967 501 is the square root of 936 058 185 001.

967 501 is a number with 6 digits.

The multiples of 967 501 are all integers evenly divisible by 967 501, that is all numbers such that the remainder of the division by 967 501 is zero. There are infinitely many multiples of 967 501. The smallest multiples of 967 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 967 501 too, since 0 × 967 501 = 0
• 967 501: indeed, 967 501 is a multiple of itself, since 967 501 is evenly divisible by 967 501 (we have 967 501 / 967 501 = 1, so the remainder of this division is indeed zero)
• 1 935 002: indeed, 1 935 002 = 967 501 × 2
• 2 902 503: indeed, 2 902 503 = 967 501 × 3
• 3 870 004: indeed, 3 870 004 = 967 501 × 4
• 4 837 505: indeed, 4 837 505 = 967 501 × 5
• etc.

• Preceding numbers: …967 499, 967 500
• Following numbers: 967 502, 967 503…

Nearest numbers from 967 501

• Preceding prime number: 967 493
• Following prime number: 967 507

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• 967 501 est-il un nombre premier ?