Is 137537 a prime number?

137 537 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 137 537 is about 370.860.

Thus, the square root of 137 537 is not an integer, and therefore 137 537 is not a square number.

Anyway, 137 537 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 137 537) is the result of the product of this number (137 537) by itself (i.e., 137 537 × 137 537); the square of 137 537 is sometimes called "raising 137 537 to the power 2", or "137 537 squared".

The square of 137 537 is 18 916 426 369 because 137 537 × 137 537 = 137 537² = 18 916 426 369.

As a consequence, 137 537 is the square root of 18 916 426 369.

137 537 is a number with 6 digits.

The multiples of 137 537 are all integers evenly divisible by 137 537, that is all numbers such that the remainder of the division by 137 537 is zero. There are infinitely many multiples of 137 537. The smallest multiples of 137 537 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 137 537 too, since 0 × 137 537 = 0
• 137 537: indeed, 137 537 is a multiple of itself, since 137 537 is evenly divisible by 137 537 (we have 137 537 / 137 537 = 1, so the remainder of this division is indeed zero)
• 275 074: indeed, 275 074 = 137 537 × 2
• 412 611: indeed, 412 611 = 137 537 × 3
• 550 148: indeed, 550 148 = 137 537 × 4
• 687 685: indeed, 687 685 = 137 537 × 5
• etc.

• Preceding numbers: …137 535, 137 536
• Following numbers: 137 538, 137 539…

Nearest numbers from 137 537

• Preceding prime number: 137 519
• Following prime number: 137 567

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• 137 537 est-il un nombre premier ?