Is 8713 a prime number? What are the divisors of 8713?

## Is 8713 a prime number?

Yes, 8713 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 8713, the only two divisors are 1 and 8713. Therefore 8713 is a prime number.

As a consequence, 8713 is only a multiple of 1 and 8713.

Since 8713 is a prime number, 8713 is also a deficient number, that is to say 8713 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8713 without 8713 itself (that is 1, by definition!).

## Parity of 8713

8713 is an odd number, because it is not evenly divisible by 2.

## Is 8713 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 8713 is about 93.343.

Thus, the square root of 8713 is not an integer, and therefore 8713 is not a square number.

Anyway, 8713 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8713?

The square of a number (here 8713) is the result of the product of this number (8713) by itself (i.e., 8713 × 8713); the square of 8713 is sometimes called "raising 8713 to the power 2", or "8713 squared".

The square of 8713 is 75 916 369 because 8713 × 8713 = 87132 = 75 916 369.

As a consequence, 8713 is the square root of 75 916 369.

## Number of digits of 8713

8713 is a number with 4 digits.

## What are the multiples of 8713?

The multiples of 8713 are all integers evenly divisible by 8713, that is all numbers such that the remainder of the division by 8713 is zero. There are infinitely many multiples of 8713. The smallest multiples of 8713 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8713 too, since 0 × 8713 = 0
• 8713: indeed, 8713 is a multiple of itself, since 8713 is evenly divisible by 8713 (we have 8713 / 8713 = 1, so the remainder of this division is indeed zero)
• 17 426: indeed, 17 426 = 8713 × 2
• 26 139: indeed, 26 139 = 8713 × 3
• 34 852: indeed, 34 852 = 8713 × 4
• 43 565: indeed, 43 565 = 8713 × 5
• etc.

## Nearest numbers from 8713

Find out whether some integer is a prime number