Is 23167 a prime number?

23 167 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 23 167 is about 152.207.

Thus, the square root of 23 167 is not an integer, and therefore 23 167 is not a square number.

Anyway, 23 167 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 23 167) is the result of the product of this number (23 167) by itself (i.e., 23 167 × 23 167); the square of 23 167 is sometimes called "raising 23 167 to the power 2", or "23 167 squared".

The square of 23 167 is 536 709 889 because 23 167 × 23 167 = 23 167² = 536 709 889.

As a consequence, 23 167 is the square root of 536 709 889.

23 167 is a number with 5 digits.

The multiples of 23 167 are all integers evenly divisible by 23 167, that is all numbers such that the remainder of the division by 23 167 is zero. There are infinitely many multiples of 23 167. The smallest multiples of 23 167 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 23 167 too, since 0 × 23 167 = 0
• 23 167: indeed, 23 167 is a multiple of itself, since 23 167 is evenly divisible by 23 167 (we have 23 167 / 23 167 = 1, so the remainder of this division is indeed zero)
• 46 334: indeed, 46 334 = 23 167 × 2
• 69 501: indeed, 69 501 = 23 167 × 3
• 92 668: indeed, 92 668 = 23 167 × 4
• 115 835: indeed, 115 835 = 23 167 × 5
• etc.

• Preceding numbers: …23 165, 23 166
• Following numbers: 23 168, 23 169…

Nearest numbers from 23 167

• Preceding prime number: 23 159
• Following prime number: 23 173

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• 23 167 est-il un nombre premier ?