Is 9733 a prime number? What are the divisors of 9733?

## Is 9733 a prime number?

Yes, 9733 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 9733, the only two divisors are 1 and 9733. Therefore 9733 is a prime number.

As a consequence, 9733 is only a multiple of 1 and 9733.

Since 9733 is a prime number, 9733 is also a deficient number, that is to say 9733 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9733 without 9733 itself (that is 1, by definition!).

## Parity of 9733

9733 is an odd number, because it is not evenly divisible by 2.

## Is 9733 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 9733 is about 98.656.

Thus, the square root of 9733 is not an integer, and therefore 9733 is not a square number.

Anyway, 9733 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9733?

The square of a number (here 9733) is the result of the product of this number (9733) by itself (i.e., 9733 × 9733); the square of 9733 is sometimes called "raising 9733 to the power 2", or "9733 squared".

The square of 9733 is 94 731 289 because 9733 × 9733 = 97332 = 94 731 289.

As a consequence, 9733 is the square root of 94 731 289.

## Number of digits of 9733

9733 is a number with 4 digits.

## What are the multiples of 9733?

The multiples of 9733 are all integers evenly divisible by 9733, that is all numbers such that the remainder of the division by 9733 is zero. There are infinitely many multiples of 9733. The smallest multiples of 9733 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9733 too, since 0 × 9733 = 0
• 9733: indeed, 9733 is a multiple of itself, since 9733 is evenly divisible by 9733 (we have 9733 / 9733 = 1, so the remainder of this division is indeed zero)
• 19 466: indeed, 19 466 = 9733 × 2
• 29 199: indeed, 29 199 = 9733 × 3
• 38 932: indeed, 38 932 = 9733 × 4
• 48 665: indeed, 48 665 = 9733 × 5
• etc.

## Nearest numbers from 9733

Find out whether some integer is a prime number