Is 10789 a prime number? What are the divisors of 10789?

## Is 10789 a prime number?

Yes, 10789 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 10789, the only two divisors are 1 and 10789. Therefore 10789 is a prime number.

As a consequence, 10789 is only a multiple of 1 and 10789.

Since 10789 is a prime number, 10789 is also a deficient number, that is to say 10789 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10789 without 10789 itself (that is 1, by definition!).

## Parity of 10789

10789 is an odd number, because it is not evenly divisible by 2.

## Is 10789 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 10789 is about 103.870.

Thus, the square root of 10789 is not an integer, and therefore 10789 is not a square number.

Anyway, 10789 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10789?

The square of a number (here 10789) is the result of the product of this number (10789) by itself (i.e., 10789 × 10789); the square of 10789 is sometimes called "raising 10789 to the power 2", or "10789 squared".

The square of 10789 is 116 402 521 because 10789 × 10789 = 107892 = 116 402 521.

As a consequence, 10789 is the square root of 116 402 521.

## Number of digits of 10789

10789 is a number with 5 digits.

## What are the multiples of 10789?

The multiples of 10789 are all integers evenly divisible by 10789, that is all numbers such that the remainder of the division by 10789 is zero. There are infinitely many multiples of 10789. The smallest multiples of 10789 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10789 too, since 0 × 10789 = 0
• 10789: indeed, 10789 is a multiple of itself, since 10789 is evenly divisible by 10789 (we have 10789 / 10789 = 1, so the remainder of this division is indeed zero)
• 21 578: indeed, 21 578 = 10789 × 2
• 32 367: indeed, 32 367 = 10789 × 3
• 43 156: indeed, 43 156 = 10789 × 4
• 53 945: indeed, 53 945 = 10789 × 5
• etc.

## Nearest numbers from 10789

Find out whether some integer is a prime number