Is 8369 a prime number? What are the divisors of 8369?

## Is 8369 a prime number?

Yes, 8369 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 8369, the only two divisors are 1 and 8369. Therefore 8369 is a prime number.

As a consequence, 8369 is only a multiple of 1 and 8369.

Since 8369 is a prime number, 8369 is also a deficient number, that is to say 8369 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8369 without 8369 itself (that is 1, by definition!).

## Parity of 8369

8369 is an odd number, because it is not evenly divisible by 2.

## Is 8369 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 8369 is about 91.482.

Thus, the square root of 8369 is not an integer, and therefore 8369 is not a square number.

Anyway, 8369 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8369?

The square of a number (here 8369) is the result of the product of this number (8369) by itself (i.e., 8369 × 8369); the square of 8369 is sometimes called "raising 8369 to the power 2", or "8369 squared".

The square of 8369 is 70 040 161 because 8369 × 8369 = 83692 = 70 040 161.

As a consequence, 8369 is the square root of 70 040 161.

## Number of digits of 8369

8369 is a number with 4 digits.

## What are the multiples of 8369?

The multiples of 8369 are all integers evenly divisible by 8369, that is all numbers such that the remainder of the division by 8369 is zero. There are infinitely many multiples of 8369. The smallest multiples of 8369 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8369 too, since 0 × 8369 = 0
• 8369: indeed, 8369 is a multiple of itself, since 8369 is evenly divisible by 8369 (we have 8369 / 8369 = 1, so the remainder of this division is indeed zero)
• 16 738: indeed, 16 738 = 8369 × 2
• 25 107: indeed, 25 107 = 8369 × 3
• 33 476: indeed, 33 476 = 8369 × 4
• 41 845: indeed, 41 845 = 8369 × 5
• etc.

## Nearest numbers from 8369

Find out whether some integer is a prime number