Is 17123 a prime number?

17 123 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 17 123 is about 130.855.

Thus, the square root of 17 123 is not an integer, and therefore 17 123 is not a square number.

Anyway, 17 123 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 17 123) is the result of the product of this number (17 123) by itself (i.e., 17 123 × 17 123); the square of 17 123 is sometimes called "raising 17 123 to the power 2", or "17 123 squared".

The square of 17 123 is 293 197 129 because 17 123 × 17 123 = 17 123² = 293 197 129.

As a consequence, 17 123 is the square root of 293 197 129.

17 123 is a number with 5 digits.

The multiples of 17 123 are all integers evenly divisible by 17 123, that is all numbers such that the remainder of the division by 17 123 is zero. There are infinitely many multiples of 17 123. The smallest multiples of 17 123 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 17 123 too, since 0 × 17 123 = 0
• 17 123: indeed, 17 123 is a multiple of itself, since 17 123 is evenly divisible by 17 123 (we have 17 123 / 17 123 = 1, so the remainder of this division is indeed zero)
• 34 246: indeed, 34 246 = 17 123 × 2
• 51 369: indeed, 51 369 = 17 123 × 3
• 68 492: indeed, 68 492 = 17 123 × 4
• 85 615: indeed, 85 615 = 17 123 × 5
• etc.

• Preceding numbers: …17 121, 17 122
• Following numbers: 17 124, 17 125…

Nearest numbers from 17 123

• Preceding prime number: 17 117
• Following prime number: 17 137

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• 17 123 est-il un nombre premier ?