Is 11369 a prime number? What are the divisors of 11369?

## Is 11369 a prime number?

Yes, 11369 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 11369, the only two divisors are 1 and 11369. Therefore 11369 is a prime number.

As a consequence, 11369 is only a multiple of 1 and 11369.

Since 11369 is a prime number, 11369 is also a deficient number, that is to say 11369 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11369 without 11369 itself (that is 1, by definition!).

## Parity of 11369

11369 is an odd number, because it is not evenly divisible by 2.

## Is 11369 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 11369 is about 106.626.

Thus, the square root of 11369 is not an integer, and therefore 11369 is not a square number.

Anyway, 11369 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11369?

The square of a number (here 11369) is the result of the product of this number (11369) by itself (i.e., 11369 × 11369); the square of 11369 is sometimes called "raising 11369 to the power 2", or "11369 squared".

The square of 11369 is 129 254 161 because 11369 × 11369 = 113692 = 129 254 161.

As a consequence, 11369 is the square root of 129 254 161.

## Number of digits of 11369

11369 is a number with 5 digits.

## What are the multiples of 11369?

The multiples of 11369 are all integers evenly divisible by 11369, that is all numbers such that the remainder of the division by 11369 is zero. There are infinitely many multiples of 11369. The smallest multiples of 11369 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11369 too, since 0 × 11369 = 0
• 11369: indeed, 11369 is a multiple of itself, since 11369 is evenly divisible by 11369 (we have 11369 / 11369 = 1, so the remainder of this division is indeed zero)
• 22 738: indeed, 22 738 = 11369 × 2
• 34 107: indeed, 34 107 = 11369 × 3
• 45 476: indeed, 45 476 = 11369 × 4
• 56 845: indeed, 56 845 = 11369 × 5
• etc.

## Nearest numbers from 11369

Find out whether some integer is a prime number