Is 8167 a prime number?

8 167 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 8 167 is about 90.371.

Thus, the square root of 8 167 is not an integer, and therefore 8 167 is not a square number.

Anyway, 8 167 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 8 167) is the result of the product of this number (8 167) by itself (i.e., 8 167 × 8 167); the square of 8 167 is sometimes called "raising 8 167 to the power 2", or "8 167 squared".

The square of 8 167 is 66 699 889 because 8 167 × 8 167 = 8 167² = 66 699 889.

As a consequence, 8 167 is the square root of 66 699 889.

8 167 is a number with 4 digits.

The multiples of 8 167 are all integers evenly divisible by 8 167, that is all numbers such that the remainder of the division by 8 167 is zero. There are infinitely many multiples of 8 167. The smallest multiples of 8 167 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8 167 too, since 0 × 8 167 = 0
• 8 167: indeed, 8 167 is a multiple of itself, since 8 167 is evenly divisible by 8 167 (we have 8 167 / 8 167 = 1, so the remainder of this division is indeed zero)
• 16 334: indeed, 16 334 = 8 167 × 2
• 24 501: indeed, 24 501 = 8 167 × 3
• 32 668: indeed, 32 668 = 8 167 × 4
• 40 835: indeed, 40 835 = 8 167 × 5
• etc.

• Preceding numbers: …8 165, 8 166
• Following numbers: 8 168, 8 169…

Nearest numbers from 8 167

• Preceding prime number: 8 161
• Following prime number: 8 171

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• 8 167 est-il un nombre premier ?