Is 8237 a prime number? What are the divisors of 8237?

## Is 8237 a prime number?

Yes, 8237 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 8237, the only two divisors are 1 and 8237. Therefore 8237 is a prime number.

As a consequence, 8237 is only a multiple of 1 and 8237.

Since 8237 is a prime number, 8237 is also a deficient number, that is to say 8237 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8237 without 8237 itself (that is 1, by definition!).

## Parity of 8237

8237 is an odd number, because it is not evenly divisible by 2.

## Is 8237 a perfect square 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 8237 is about 90.758.

Thus, the square root of 8237 is not an integer, and therefore 8237 is not a square number.

Anyway, 8237 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8237?

The square of a number (here 8237) is the result of the product of this number (8237) by itself (i.e., 8237 × 8237); the square of 8237 is sometimes called "raising 8237 to the power 2", or "8237 squared".

The square of 8237 is 67 848 169 because 8237 × 8237 = 82372 = 67 848 169.

As a consequence, 8237 is the square root of 67 848 169.

## Number of digits of 8237

8237 is a number with 4 digits.

## What are the multiples of 8237?

The multiples of 8237 are all integers evenly divisible by 8237, that is all numbers such that the remainder of the division by 8237 is zero. There are infinitely many multiples of 8237. The smallest multiples of 8237 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8237 too, since 0 × 8237 = 0
• 8237: indeed, 8237 is a multiple of itself, since 8237 is evenly divisible by 8237 (we have 8237 / 8237 = 1, so the remainder of this division is indeed zero)
• 16 474: indeed, 16 474 = 8237 × 2
• 24 711: indeed, 24 711 = 8237 × 3
• 32 948: indeed, 32 948 = 8237 × 4
• 41 185: indeed, 41 185 = 8237 × 5
• etc.

## Nearest numbers from 8237

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