Is 9133 a prime number? What are the divisors of 9133?

## Is 9133 a prime number?

Yes, 9133 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 9133, the only two divisors are 1 and 9133. Therefore 9133 is a prime number.

As a consequence, 9133 is only a multiple of 1 and 9133.

Since 9133 is a prime number, 9133 is also a deficient number, that is to say 9133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9133 without 9133 itself (that is 1, by definition!).

## Parity of 9133

9133 is an odd number, because it is not evenly divisible by 2.

## Is 9133 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 9133 is about 95.567.

Thus, the square root of 9133 is not an integer, and therefore 9133 is not a square number.

Anyway, 9133 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9133?

The square of a number (here 9133) is the result of the product of this number (9133) by itself (i.e., 9133 × 9133); the square of 9133 is sometimes called "raising 9133 to the power 2", or "9133 squared".

The square of 9133 is 83 411 689 because 9133 × 9133 = 91332 = 83 411 689.

As a consequence, 9133 is the square root of 83 411 689.

## Number of digits of 9133

9133 is a number with 4 digits.

## What are the multiples of 9133?

The multiples of 9133 are all integers evenly divisible by 9133, that is all numbers such that the remainder of the division by 9133 is zero. There are infinitely many multiples of 9133. The smallest multiples of 9133 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9133 too, since 0 × 9133 = 0
• 9133: indeed, 9133 is a multiple of itself, since 9133 is evenly divisible by 9133 (we have 9133 / 9133 = 1, so the remainder of this division is indeed zero)
• 18 266: indeed, 18 266 = 9133 × 2
• 27 399: indeed, 27 399 = 9133 × 3
• 36 532: indeed, 36 532 = 9133 × 4
• 45 665: indeed, 45 665 = 9133 × 5
• etc.

## Nearest numbers from 9133

Find out whether some integer is a prime number