Is 11321 a prime number? What are the divisors of 11321?

## Is 11321 a prime number?

Yes, 11321 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 11321, the only two divisors are 1 and 11321. Therefore 11321 is a prime number.

As a consequence, 11321 is only a multiple of 1 and 11321.

Since 11321 is a prime number, 11321 is also a deficient number, that is to say 11321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11321 without 11321 itself (that is 1, by definition!).

## Parity of 11321

11321 is an odd number, because it is not evenly divisible by 2.

## Is 11321 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 11321 is about 106.400.

Thus, the square root of 11321 is not an integer, and therefore 11321 is not a square number.

Anyway, 11321 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11321?

The square of a number (here 11321) is the result of the product of this number (11321) by itself (i.e., 11321 × 11321); the square of 11321 is sometimes called "raising 11321 to the power 2", or "11321 squared".

The square of 11321 is 128 165 041 because 11321 × 11321 = 113212 = 128 165 041.

As a consequence, 11321 is the square root of 128 165 041.

## Number of digits of 11321

11321 is a number with 5 digits.

## What are the multiples of 11321?

The multiples of 11321 are all integers evenly divisible by 11321, that is all numbers such that the remainder of the division by 11321 is zero. There are infinitely many multiples of 11321. The smallest multiples of 11321 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11321 too, since 0 × 11321 = 0
• 11321: indeed, 11321 is a multiple of itself, since 11321 is evenly divisible by 11321 (we have 11321 / 11321 = 1, so the remainder of this division is indeed zero)
• 22 642: indeed, 22 642 = 11321 × 2
• 33 963: indeed, 33 963 = 11321 × 3
• 45 284: indeed, 45 284 = 11321 × 4
• 56 605: indeed, 56 605 = 11321 × 5
• etc.

## Nearest numbers from 11321

Find out whether some integer is a prime number