Is 8783 a prime number? What are the divisors of 8783?

## Is 8783 a prime number?

Yes, 8783 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 8783, the only two divisors are 1 and 8783. Therefore 8783 is a prime number.

As a consequence, 8783 is only a multiple of 1 and 8783.

Since 8783 is a prime number, 8783 is also a deficient number, that is to say 8783 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8783 without 8783 itself (that is 1, by definition!).

## Parity of 8783

8783 is an odd number, because it is not evenly divisible by 2.

## Is 8783 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 8783 is about 93.718.

Thus, the square root of 8783 is not an integer, and therefore 8783 is not a square number.

Anyway, 8783 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8783?

The square of a number (here 8783) is the result of the product of this number (8783) by itself (i.e., 8783 × 8783); the square of 8783 is sometimes called "raising 8783 to the power 2", or "8783 squared".

The square of 8783 is 77 141 089 because 8783 × 8783 = 87832 = 77 141 089.

As a consequence, 8783 is the square root of 77 141 089.

## Number of digits of 8783

8783 is a number with 4 digits.

## What are the multiples of 8783?

The multiples of 8783 are all integers evenly divisible by 8783, that is all numbers such that the remainder of the division by 8783 is zero. There are infinitely many multiples of 8783. The smallest multiples of 8783 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8783 too, since 0 × 8783 = 0
• 8783: indeed, 8783 is a multiple of itself, since 8783 is evenly divisible by 8783 (we have 8783 / 8783 = 1, so the remainder of this division is indeed zero)
• 17 566: indeed, 17 566 = 8783 × 2
• 26 349: indeed, 26 349 = 8783 × 3
• 35 132: indeed, 35 132 = 8783 × 4
• 43 915: indeed, 43 915 = 8783 × 5
• etc.

## Nearest numbers from 8783

Find out whether some integer is a prime number