## Is 7333 a prime number?

Yes, 7333 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 7333, the only two divisors are 1 and 7333. Therefore 7333 is a prime number.

As a consequence, 7333 is only a multiple of 1 and 7333.

Since 7333 is a prime number, 7333 is also a deficient number, that is to say 7333 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7333 without 7333 itself (that is 1, by definition!).

## Parity of 7333

7333 is an odd number, because it is not evenly divisible by 2.

## Is 7333 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 7333 is about 85.633.

Thus, the square root of 7333 is not an integer, and therefore 7333 is not a square number.

Anyway, 7333 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7333?

The square of a number (here 7333) is the result of the product of this number (7333) by itself (i.e., 7333 × 7333); the square of 7333 is sometimes called "raising 7333 to the power 2", or "7333 squared".

The square of 7333 is 53 772 889 because 7333 × 7333 = 7333^{2} = 53 772 889.

As a consequence, 7333 is the square root of 53 772 889.

## Number of digits of 7333

7333 is a number with 4 digits.

## What are the multiples of 7333?

The multiples of 7333 are all integers evenly divisible by 7333, that is all numbers such that the remainder of the division by 7333 is zero. There are infinitely many multiples of 7333. The smallest multiples of 7333 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7333 too, since 0 × 7333 = 0
- 7333: indeed, 7333 is a multiple of itself, since 7333 is evenly divisible by 7333 (we have 7333 / 7333 = 1, so the remainder of this division is indeed zero)
- 14 666: indeed, 14 666 = 7333 × 2
- 21 999: indeed, 21 999 = 7333 × 3
- 29 332: indeed, 29 332 = 7333 × 4
- 36 665: indeed, 36 665 = 7333 × 5
- etc.