Is 8837 a prime number? What are the divisors of 8837?

## Is 8837 a prime number?

Yes, 8837 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 8837, the only two divisors are 1 and 8837. Therefore 8837 is a prime number.

As a consequence, 8837 is only a multiple of 1 and 8837.

Since 8837 is a prime number, 8837 is also a deficient number, that is to say 8837 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8837 without 8837 itself (that is 1, by definition!).

## Parity of 8837

8837 is an odd number, because it is not evenly divisible by 2.

## Is 8837 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 8837 is about 94.005.

Thus, the square root of 8837 is not an integer, and therefore 8837 is not a square number.

Anyway, 8837 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8837?

The square of a number (here 8837) is the result of the product of this number (8837) by itself (i.e., 8837 × 8837); the square of 8837 is sometimes called "raising 8837 to the power 2", or "8837 squared".

The square of 8837 is 78 092 569 because 8837 × 8837 = 88372 = 78 092 569.

As a consequence, 8837 is the square root of 78 092 569.

## Number of digits of 8837

8837 is a number with 4 digits.

## What are the multiples of 8837?

The multiples of 8837 are all integers evenly divisible by 8837, that is all numbers such that the remainder of the division by 8837 is zero. There are infinitely many multiples of 8837. The smallest multiples of 8837 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8837 too, since 0 × 8837 = 0
• 8837: indeed, 8837 is a multiple of itself, since 8837 is evenly divisible by 8837 (we have 8837 / 8837 = 1, so the remainder of this division is indeed zero)
• 17 674: indeed, 17 674 = 8837 × 2
• 26 511: indeed, 26 511 = 8837 × 3
• 35 348: indeed, 35 348 = 8837 × 4
• 44 185: indeed, 44 185 = 8837 × 5
• etc.

## Nearest numbers from 8837

Find out whether some integer is a prime number