Is 11489 a prime number? What are the divisors of 11489?

## Is 11489 a prime number?

Yes, 11489 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 11489, the only two divisors are 1 and 11489. Therefore 11489 is a prime number.

As a consequence, 11489 is only a multiple of 1 and 11489.

Since 11489 is a prime number, 11489 is also a deficient number, that is to say 11489 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11489 without 11489 itself (that is 1, by definition!).

## Parity of 11489

11489 is an odd number, because it is not evenly divisible by 2.

## Is 11489 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 11489 is about 107.187.

Thus, the square root of 11489 is not an integer, and therefore 11489 is not a square number.

Anyway, 11489 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11489?

The square of a number (here 11489) is the result of the product of this number (11489) by itself (i.e., 11489 × 11489); the square of 11489 is sometimes called "raising 11489 to the power 2", or "11489 squared".

The square of 11489 is 131 997 121 because 11489 × 11489 = 114892 = 131 997 121.

As a consequence, 11489 is the square root of 131 997 121.

## Number of digits of 11489

11489 is a number with 5 digits.

## What are the multiples of 11489?

The multiples of 11489 are all integers evenly divisible by 11489, that is all numbers such that the remainder of the division by 11489 is zero. There are infinitely many multiples of 11489. The smallest multiples of 11489 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11489 too, since 0 × 11489 = 0
• 11489: indeed, 11489 is a multiple of itself, since 11489 is evenly divisible by 11489 (we have 11489 / 11489 = 1, so the remainder of this division is indeed zero)
• 22 978: indeed, 22 978 = 11489 × 2
• 34 467: indeed, 34 467 = 11489 × 3
• 45 956: indeed, 45 956 = 11489 × 4
• 57 445: indeed, 57 445 = 11489 × 5
• etc.

## Nearest numbers from 11489

Find out whether some integer is a prime number