Is 37801 a prime number?

37 801 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 37 801 is about 194.425.

Thus, the square root of 37 801 is not an integer, and therefore 37 801 is not a square number.

The square of a number (here 37 801) is the result of the product of this number (37 801) by itself (i.e., 37 801 × 37 801); the square of 37 801 is sometimes called "raising 37 801 to the power 2", or "37 801 squared".

The square of 37 801 is 1 428 915 601 because 37 801 × 37 801 = 37 801² = 1 428 915 601.

As a consequence, 37 801 is the square root of 1 428 915 601.

37 801 is a number with 5 digits.

The multiples of 37 801 are all integers evenly divisible by 37 801, that is all numbers such that the remainder of the division by 37 801 is zero. There are infinitely many multiples of 37 801. The smallest multiples of 37 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 801 too, since 0 × 37 801 = 0
• 37 801: indeed, 37 801 is a multiple of itself, since 37 801 is evenly divisible by 37 801 (we have 37 801 / 37 801 = 1, so the remainder of this division is indeed zero)
• 75 602: indeed, 75 602 = 37 801 × 2
• 113 403: indeed, 113 403 = 37 801 × 3
• 151 204: indeed, 151 204 = 37 801 × 4
• 189 005: indeed, 189 005 = 37 801 × 5
• etc.

• Preceding numbers: …37 799, 37 800
• Following numbers: 37 802, 37 803…

Nearest numbers from 37 801

• Preceding prime number: 37 799
• Following prime number: 37 811

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• 37 801 est-il un nombre premier ?