Is 37489 a prime number?

37 489 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 37 489 is about 193.621.

Thus, the square root of 37 489 is not an integer, and therefore 37 489 is not a square number.

Anyway, 37 489 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 489) is the result of the product of this number (37 489) by itself (i.e., 37 489 × 37 489); the square of 37 489 is sometimes called "raising 37 489 to the power 2", or "37 489 squared".

The square of 37 489 is 1 405 425 121 because 37 489 × 37 489 = 37 489² = 1 405 425 121.

As a consequence, 37 489 is the square root of 1 405 425 121.

37 489 is a number with 5 digits.

The multiples of 37 489 are all integers evenly divisible by 37 489, that is all numbers such that the remainder of the division by 37 489 is zero. There are infinitely many multiples of 37 489. The smallest multiples of 37 489 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 489 too, since 0 × 37 489 = 0
• 37 489: indeed, 37 489 is a multiple of itself, since 37 489 is evenly divisible by 37 489 (we have 37 489 / 37 489 = 1, so the remainder of this division is indeed zero)
• 74 978: indeed, 74 978 = 37 489 × 2
• 112 467: indeed, 112 467 = 37 489 × 3
• 149 956: indeed, 149 956 = 37 489 × 4
• 187 445: indeed, 187 445 = 37 489 × 5
• etc.

• Preceding numbers: …37 487, 37 488
• Following numbers: 37 490, 37 491…

Nearest numbers from 37 489

• Preceding prime number: 37 483
• Following prime number: 37 493

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• 37 489 est-il un nombre premier ?