Is 167971 a prime number?

167 971 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 167 971 is about 409.843.

Thus, the square root of 167 971 is not an integer, and therefore 167 971 is not a square number.

Anyway, 167 971 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 167 971) is the result of the product of this number (167 971) by itself (i.e., 167 971 × 167 971); the square of 167 971 is sometimes called "raising 167 971 to the power 2", or "167 971 squared".

The square of 167 971 is 28 214 256 841 because 167 971 × 167 971 = 167 971² = 28 214 256 841.

As a consequence, 167 971 is the square root of 28 214 256 841.

167 971 is a number with 6 digits.

The multiples of 167 971 are all integers evenly divisible by 167 971, that is all numbers such that the remainder of the division by 167 971 is zero. There are infinitely many multiples of 167 971. The smallest multiples of 167 971 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 167 971 too, since 0 × 167 971 = 0
• 167 971: indeed, 167 971 is a multiple of itself, since 167 971 is evenly divisible by 167 971 (we have 167 971 / 167 971 = 1, so the remainder of this division is indeed zero)
• 335 942: indeed, 335 942 = 167 971 × 2
• 503 913: indeed, 503 913 = 167 971 × 3
• 671 884: indeed, 671 884 = 167 971 × 4
• 839 855: indeed, 839 855 = 167 971 × 5
• etc.

• Preceding numbers: …167 969, 167 970
• Following numbers: 167 972, 167 973…

Nearest numbers from 167 971

• Preceding prime number: 167 953
• Following prime number: 167 987

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• 167 971 est-il un nombre premier ?