Is 9739 a prime number? What are the divisors of 9739?

## Is 9739 a prime number?

Yes, 9739 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 9739, the only two divisors are 1 and 9739. Therefore 9739 is a prime number.

As a consequence, 9739 is only a multiple of 1 and 9739.

Since 9739 is a prime number, 9739 is also a deficient number, that is to say 9739 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9739 without 9739 itself (that is 1, by definition!).

## Parity of 9739

9739 is an odd number, because it is not evenly divisible by 2.

## Is 9739 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 9739 is about 98.686.

Thus, the square root of 9739 is not an integer, and therefore 9739 is not a square number.

Anyway, 9739 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9739?

The square of a number (here 9739) is the result of the product of this number (9739) by itself (i.e., 9739 × 9739); the square of 9739 is sometimes called "raising 9739 to the power 2", or "9739 squared".

The square of 9739 is 94 848 121 because 9739 × 9739 = 97392 = 94 848 121.

As a consequence, 9739 is the square root of 94 848 121.

## Number of digits of 9739

9739 is a number with 4 digits.

## What are the multiples of 9739?

The multiples of 9739 are all integers evenly divisible by 9739, that is all numbers such that the remainder of the division by 9739 is zero. There are infinitely many multiples of 9739. The smallest multiples of 9739 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9739 too, since 0 × 9739 = 0
• 9739: indeed, 9739 is a multiple of itself, since 9739 is evenly divisible by 9739 (we have 9739 / 9739 = 1, so the remainder of this division is indeed zero)
• 19 478: indeed, 19 478 = 9739 × 2
• 29 217: indeed, 29 217 = 9739 × 3
• 38 956: indeed, 38 956 = 9739 × 4
• 48 695: indeed, 48 695 = 9739 × 5
• etc.

## Nearest numbers from 9739

Find out whether some integer is a prime number