Is 2167 a prime number?

2 167 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 2 167 is about 46.551.

Thus, the square root of 2 167 is not an integer, and therefore 2 167 is not a square number.

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

The square of 2 167 is 4 695 889 because 2 167 × 2 167 = 2 167² = 4 695 889.

As a consequence, 2 167 is the square root of 4 695 889.

2 167 is a number with 4 digits.

The multiples of 2 167 are all integers evenly divisible by 2 167, that is all numbers such that the remainder of the division by 2 167 is zero. There are infinitely many multiples of 2 167. The smallest multiples of 2 167 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 167 too, since 0 × 2 167 = 0
• 2 167: indeed, 2 167 is a multiple of itself, since 2 167 is evenly divisible by 2 167 (we have 2 167 / 2 167 = 1, so the remainder of this division is indeed zero)
• 4 334: indeed, 4 334 = 2 167 × 2
• 6 501: indeed, 6 501 = 2 167 × 3
• 8 668: indeed, 8 668 = 2 167 × 4
• 10 835: indeed, 10 835 = 2 167 × 5
• etc.

• Preceding numbers: …2 165, 2 166
• Following numbers: 2 168, 2 169…

Nearest numbers from 2 167

• Preceding prime number: 2 161
• Following prime number: 2 179

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• 2 167 est-il un nombre premier ?