Is 37201 a prime number?

37 201 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 37 201 is about 192.876.

Thus, the square root of 37 201 is not an integer, and therefore 37 201 is not a square number.

Anyway, 37 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 201) is the result of the product of this number (37 201) by itself (i.e., 37 201 × 37 201); the square of 37 201 is sometimes called "raising 37 201 to the power 2", or "37 201 squared".

The square of 37 201 is 1 383 914 401 because 37 201 × 37 201 = 37 201² = 1 383 914 401.

As a consequence, 37 201 is the square root of 1 383 914 401.

37 201 is a number with 5 digits.

The multiples of 37 201 are all integers evenly divisible by 37 201, that is all numbers such that the remainder of the division by 37 201 is zero. There are infinitely many multiples of 37 201. The smallest multiples of 37 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 201 too, since 0 × 37 201 = 0
• 37 201: indeed, 37 201 is a multiple of itself, since 37 201 is evenly divisible by 37 201 (we have 37 201 / 37 201 = 1, so the remainder of this division is indeed zero)
• 74 402: indeed, 74 402 = 37 201 × 2
• 111 603: indeed, 111 603 = 37 201 × 3
• 148 804: indeed, 148 804 = 37 201 × 4
• 186 005: indeed, 186 005 = 37 201 × 5
• etc.

• Preceding numbers: …37 199, 37 200
• Following numbers: 37 202, 37 203…

Nearest numbers from 37 201

• Preceding prime number: 37 199
• Following prime number: 37 217

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• 37 201 est-il un nombre premier ?