Is 137201 a prime number?

137 201 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 137 201 is about 370.407.

Thus, the square root of 137 201 is not an integer, and therefore 137 201 is not a square number.

Anyway, 137 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 137 201) is the result of the product of this number (137 201) by itself (i.e., 137 201 × 137 201); the square of 137 201 is sometimes called "raising 137 201 to the power 2", or "137 201 squared".

The square of 137 201 is 18 824 114 401 because 137 201 × 137 201 = 137 201² = 18 824 114 401.

As a consequence, 137 201 is the square root of 18 824 114 401.

137 201 is a number with 6 digits.

The multiples of 137 201 are all integers evenly divisible by 137 201, that is all numbers such that the remainder of the division by 137 201 is zero. There are infinitely many multiples of 137 201. The smallest multiples of 137 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 137 201 too, since 0 × 137 201 = 0
• 137 201: indeed, 137 201 is a multiple of itself, since 137 201 is evenly divisible by 137 201 (we have 137 201 / 137 201 = 1, so the remainder of this division is indeed zero)
• 274 402: indeed, 274 402 = 137 201 × 2
• 411 603: indeed, 411 603 = 137 201 × 3
• 548 804: indeed, 548 804 = 137 201 × 4
• 686 005: indeed, 686 005 = 137 201 × 5
• etc.

• Preceding numbers: …137 199, 137 200
• Following numbers: 137 202, 137 203…

Nearest numbers from 137 201

• Preceding prime number: 137 197
• Following prime number: 137 209

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• 137 201 est-il un nombre premier ?