Is 10589 a prime number? What are the divisors of 10589?

## Is 10589 a prime number?

Yes, 10589 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 10589, the only two divisors are 1 and 10589. Therefore 10589 is a prime number.

As a consequence, 10589 is only a multiple of 1 and 10589.

Since 10589 is a prime number, 10589 is also a deficient number, that is to say 10589 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10589 without 10589 itself (that is 1, by definition!).

## Parity of 10589

10589 is an odd number, because it is not evenly divisible by 2.

## Is 10589 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 10589 is about 102.903.

Thus, the square root of 10589 is not an integer, and therefore 10589 is not a square number.

Anyway, 10589 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10589?

The square of a number (here 10589) is the result of the product of this number (10589) by itself (i.e., 10589 × 10589); the square of 10589 is sometimes called "raising 10589 to the power 2", or "10589 squared".

The square of 10589 is 112 126 921 because 10589 × 10589 = 105892 = 112 126 921.

As a consequence, 10589 is the square root of 112 126 921.

## Number of digits of 10589

10589 is a number with 5 digits.

## What are the multiples of 10589?

The multiples of 10589 are all integers evenly divisible by 10589, that is all numbers such that the remainder of the division by 10589 is zero. There are infinitely many multiples of 10589. The smallest multiples of 10589 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10589 too, since 0 × 10589 = 0
• 10589: indeed, 10589 is a multiple of itself, since 10589 is evenly divisible by 10589 (we have 10589 / 10589 = 1, so the remainder of this division is indeed zero)
• 21 178: indeed, 21 178 = 10589 × 2
• 31 767: indeed, 31 767 = 10589 × 3
• 42 356: indeed, 42 356 = 10589 × 4
• 52 945: indeed, 52 945 = 10589 × 5
• etc.

## Nearest numbers from 10589

Find out whether some integer is a prime number