Is 10739 a prime number? What are the divisors of 10739?

## Is 10739 a prime number?

Yes, 10739 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 10739, the only two divisors are 1 and 10739. Therefore 10739 is a prime number.

As a consequence, 10739 is only a multiple of 1 and 10739.

Since 10739 is a prime number, 10739 is also a deficient number, that is to say 10739 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10739 without 10739 itself (that is 1, by definition!).

## Parity of 10739

10739 is an odd number, because it is not evenly divisible by 2.

## Is 10739 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 10739 is about 103.629.

Thus, the square root of 10739 is not an integer, and therefore 10739 is not a square number.

Anyway, 10739 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10739?

The square of a number (here 10739) is the result of the product of this number (10739) by itself (i.e., 10739 × 10739); the square of 10739 is sometimes called "raising 10739 to the power 2", or "10739 squared".

The square of 10739 is 115 326 121 because 10739 × 10739 = 107392 = 115 326 121.

As a consequence, 10739 is the square root of 115 326 121.

## Number of digits of 10739

10739 is a number with 5 digits.

## What are the multiples of 10739?

The multiples of 10739 are all integers evenly divisible by 10739, that is all numbers such that the remainder of the division by 10739 is zero. There are infinitely many multiples of 10739. The smallest multiples of 10739 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10739 too, since 0 × 10739 = 0
• 10739: indeed, 10739 is a multiple of itself, since 10739 is evenly divisible by 10739 (we have 10739 / 10739 = 1, so the remainder of this division is indeed zero)
• 21 478: indeed, 21 478 = 10739 × 2
• 32 217: indeed, 32 217 = 10739 × 3
• 42 956: indeed, 42 956 = 10739 × 4
• 53 695: indeed, 53 695 = 10739 × 5
• etc.

## Nearest numbers from 10739

Find out whether some integer is a prime number