Is 17137 a prime number?

17 137 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 17 137 is about 130.908.

Thus, the square root of 17 137 is not an integer, and therefore 17 137 is not a square number.

Anyway, 17 137 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 17 137) is the result of the product of this number (17 137) by itself (i.e., 17 137 × 17 137); the square of 17 137 is sometimes called "raising 17 137 to the power 2", or "17 137 squared".

The square of 17 137 is 293 676 769 because 17 137 × 17 137 = 17 137² = 293 676 769.

As a consequence, 17 137 is the square root of 293 676 769.

17 137 is a number with 5 digits.

The multiples of 17 137 are all integers evenly divisible by 17 137, that is all numbers such that the remainder of the division by 17 137 is zero. There are infinitely many multiples of 17 137. The smallest multiples of 17 137 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 17 137 too, since 0 × 17 137 = 0
• 17 137: indeed, 17 137 is a multiple of itself, since 17 137 is evenly divisible by 17 137 (we have 17 137 / 17 137 = 1, so the remainder of this division is indeed zero)
• 34 274: indeed, 34 274 = 17 137 × 2
• 51 411: indeed, 51 411 = 17 137 × 3
• 68 548: indeed, 68 548 = 17 137 × 4
• 85 685: indeed, 85 685 = 17 137 × 5
• etc.

• Preceding numbers: …17 135, 17 136
• Following numbers: 17 138, 17 139…

Nearest numbers from 17 137

• Preceding prime number: 17 123
• Following prime number: 17 159

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• Five thousand prime numbers

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• 17 137 est-il un nombre premier ?