Is 10709 a prime number? What are the divisors of 10709?

## Is 10709 a prime number?

Yes, 10709 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 10709, the only two divisors are 1 and 10709. Therefore 10709 is a prime number.

As a consequence, 10709 is only a multiple of 1 and 10709.

Since 10709 is a prime number, 10709 is also a deficient number, that is to say 10709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10709 without 10709 itself (that is 1, by definition!).

## Parity of 10709

10709 is an odd number, because it is not evenly divisible by 2.

## Is 10709 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 10709 is about 103.484.

Thus, the square root of 10709 is not an integer, and therefore 10709 is not a square number.

Anyway, 10709 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10709?

The square of a number (here 10709) is the result of the product of this number (10709) by itself (i.e., 10709 × 10709); the square of 10709 is sometimes called "raising 10709 to the power 2", or "10709 squared".

The square of 10709 is 114 682 681 because 10709 × 10709 = 107092 = 114 682 681.

As a consequence, 10709 is the square root of 114 682 681.

## Number of digits of 10709

10709 is a number with 5 digits.

## What are the multiples of 10709?

The multiples of 10709 are all integers evenly divisible by 10709, that is all numbers such that the remainder of the division by 10709 is zero. There are infinitely many multiples of 10709. The smallest multiples of 10709 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10709 too, since 0 × 10709 = 0
• 10709: indeed, 10709 is a multiple of itself, since 10709 is evenly divisible by 10709 (we have 10709 / 10709 = 1, so the remainder of this division is indeed zero)
• 21 418: indeed, 21 418 = 10709 × 2
• 32 127: indeed, 32 127 = 10709 × 3
• 42 836: indeed, 42 836 = 10709 × 4
• 53 545: indeed, 53 545 = 10709 × 5
• etc.

## Nearest numbers from 10709

Find out whether some integer is a prime number