Is 9833 a prime number? What are the divisors of 9833?

## Is 9833 a prime number?

Yes, 9833 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 9833, the only two divisors are 1 and 9833. Therefore 9833 is a prime number.

As a consequence, 9833 is only a multiple of 1 and 9833.

Since 9833 is a prime number, 9833 is also a deficient number, that is to say 9833 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9833 without 9833 itself (that is 1, by definition!).

## Parity of 9833

9833 is an odd number, because it is not evenly divisible by 2.

## Is 9833 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 9833 is about 99.161.

Thus, the square root of 9833 is not an integer, and therefore 9833 is not a square number.

Anyway, 9833 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9833?

The square of a number (here 9833) is the result of the product of this number (9833) by itself (i.e., 9833 × 9833); the square of 9833 is sometimes called "raising 9833 to the power 2", or "9833 squared".

The square of 9833 is 96 687 889 because 9833 × 9833 = 98332 = 96 687 889.

As a consequence, 9833 is the square root of 96 687 889.

## Number of digits of 9833

9833 is a number with 4 digits.

## What are the multiples of 9833?

The multiples of 9833 are all integers evenly divisible by 9833, that is all numbers such that the remainder of the division by 9833 is zero. There are infinitely many multiples of 9833. The smallest multiples of 9833 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9833 too, since 0 × 9833 = 0
• 9833: indeed, 9833 is a multiple of itself, since 9833 is evenly divisible by 9833 (we have 9833 / 9833 = 1, so the remainder of this division is indeed zero)
• 19 666: indeed, 19 666 = 9833 × 2
• 29 499: indeed, 29 499 = 9833 × 3
• 39 332: indeed, 39 332 = 9833 × 4
• 49 165: indeed, 49 165 = 9833 × 5
• etc.

## Nearest numbers from 9833

Find out whether some integer is a prime number