Is 37397 a prime number?

37 397 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 37 397 is about 193.383.

Thus, the square root of 37 397 is not an integer, and therefore 37 397 is not a square number.

Anyway, 37 397 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 397) is the result of the product of this number (37 397) by itself (i.e., 37 397 × 37 397); the square of 37 397 is sometimes called "raising 37 397 to the power 2", or "37 397 squared".

The square of 37 397 is 1 398 535 609 because 37 397 × 37 397 = 37 397² = 1 398 535 609.

As a consequence, 37 397 is the square root of 1 398 535 609.

37 397 is a number with 5 digits.

The multiples of 37 397 are all integers evenly divisible by 37 397, that is all numbers such that the remainder of the division by 37 397 is zero. There are infinitely many multiples of 37 397. The smallest multiples of 37 397 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 397 too, since 0 × 37 397 = 0
• 37 397: indeed, 37 397 is a multiple of itself, since 37 397 is evenly divisible by 37 397 (we have 37 397 / 37 397 = 1, so the remainder of this division is indeed zero)
• 74 794: indeed, 74 794 = 37 397 × 2
• 112 191: indeed, 112 191 = 37 397 × 3
• 149 588: indeed, 149 588 = 37 397 × 4
• 186 985: indeed, 186 985 = 37 397 × 5
• etc.

• Preceding numbers: …37 395, 37 396
• Following numbers: 37 398, 37 399…

Nearest numbers from 37 397

• Preceding prime number: 37 379
• Following prime number: 37 409

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• 37 397 est-il un nombre premier ?