Is 1033 a prime number? What are the divisors of 1033?

## Is 1033 a prime number?

Yes, 1033 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 1033, the only two divisors are 1 and 1033. Therefore 1033 is a prime number.

As a consequence, 1033 is only a multiple of 1 and 1033.

Since 1033 is a prime number, 1033 is also a deficient number, that is to say 1033 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1033 without 1033 itself (that is 1, by definition!).

## Parity of 1033

1033 is an odd number, because it is not evenly divisible by 2.

## Is 1033 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 1033 is about 32.140.

Thus, the square root of 1033 is not an integer, and therefore 1033 is not a square number.

Anyway, 1033 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1033?

The square of a number (here 1033) is the result of the product of this number (1033) by itself (i.e., 1033 × 1033); the square of 1033 is sometimes called "raising 1033 to the power 2", or "1033 squared".

The square of 1033 is 1 067 089 because 1033 × 1033 = 10332 = 1 067 089.

As a consequence, 1033 is the square root of 1 067 089.

## Number of digits of 1033

1033 is a number with 4 digits.

## What are the multiples of 1033?

The multiples of 1033 are all integers evenly divisible by 1033, that is all numbers such that the remainder of the division by 1033 is zero. There are infinitely many multiples of 1033. The smallest multiples of 1033 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1033 too, since 0 × 1033 = 0
• 1033: indeed, 1033 is a multiple of itself, since 1033 is evenly divisible by 1033 (we have 1033 / 1033 = 1, so the remainder of this division is indeed zero)
• 2 066: indeed, 2 066 = 1033 × 2
• 3 099: indeed, 3 099 = 1033 × 3
• 4 132: indeed, 4 132 = 1033 × 4
• 5 165: indeed, 5 165 = 1033 × 5
• etc.

## Nearest numbers from 1033

Find out whether some integer is a prime number