Is 2164 a prime number?

2 164 is an even number, because it is evenly divisible by 2: 2 164 / 2 = 1 082.

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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 2 164 is about 46.519.

Thus, the square root of 2 164 is not an integer, and therefore 2 164 is not a square number.

The square of a number (here 2 164) is the result of the product of this number (2 164) by itself (i.e., 2 164 × 2 164); the square of 2 164 is sometimes called "raising 2 164 to the power 2", or "2 164 squared".

The square of 2 164 is 4 682 896 because 2 164 × 2 164 = 2 164² = 4 682 896.

As a consequence, 2 164 is the square root of 4 682 896.

2 164 is a number with 4 digits.

The multiples of 2 164 are all integers evenly divisible by 2 164, that is all numbers such that the remainder of the division by 2 164 is zero. There are infinitely many multiples of 2 164. The smallest multiples of 2 164 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 164 too, since 0 × 2 164 = 0
• 2 164: indeed, 2 164 is a multiple of itself, since 2 164 is evenly divisible by 2 164 (we have 2 164 / 2 164 = 1, so the remainder of this division is indeed zero)
• 4 328: indeed, 4 328 = 2 164 × 2
• 6 492: indeed, 6 492 = 2 164 × 3
• 8 656: indeed, 8 656 = 2 164 × 4
• 10 820: indeed, 10 820 = 2 164 × 5
• etc.

• Preceding numbers: …2 162, 2 163
• Following numbers: 2 165, 2 166…

Nearest numbers from 2 164

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

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• 2 164 est-il un nombre premier ?