Is 8389 a prime number? What are the divisors of 8389?

## Is 8389 a prime number?

Yes, 8389 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 8389, the only two divisors are 1 and 8389. Therefore 8389 is a prime number.

As a consequence, 8389 is only a multiple of 1 and 8389.

Since 8389 is a prime number, 8389 is also a deficient number, that is to say 8389 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8389 without 8389 itself (that is 1, by definition!).

## Parity of 8389

8389 is an odd number, because it is not evenly divisible by 2.

## Is 8389 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 8389 is about 91.591.

Thus, the square root of 8389 is not an integer, and therefore 8389 is not a square number.

Anyway, 8389 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8389?

The square of a number (here 8389) is the result of the product of this number (8389) by itself (i.e., 8389 × 8389); the square of 8389 is sometimes called "raising 8389 to the power 2", or "8389 squared".

The square of 8389 is 70 375 321 because 8389 × 8389 = 83892 = 70 375 321.

As a consequence, 8389 is the square root of 70 375 321.

## Number of digits of 8389

8389 is a number with 4 digits.

## What are the multiples of 8389?

The multiples of 8389 are all integers evenly divisible by 8389, that is all numbers such that the remainder of the division by 8389 is zero. There are infinitely many multiples of 8389. The smallest multiples of 8389 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8389 too, since 0 × 8389 = 0
• 8389: indeed, 8389 is a multiple of itself, since 8389 is evenly divisible by 8389 (we have 8389 / 8389 = 1, so the remainder of this division is indeed zero)
• 16 778: indeed, 16 778 = 8389 × 2
• 25 167: indeed, 25 167 = 8389 × 3
• 33 556: indeed, 33 556 = 8389 × 4
• 41 945: indeed, 41 945 = 8389 × 5
• etc.

## Nearest numbers from 8389

Find out whether some integer is a prime number