Is 32983 a prime number? What are the divisors of 32983?

## Is 32983 a prime number?

Yes, 32983 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 32983, the only two divisors are 1 and 32983. Therefore 32983 is a prime number.

As a consequence, 32983 is only a multiple of 1 and 32983.

Since 32983 is a prime number, 32983 is also a deficient number, that is to say 32983 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 32983 without 32983 itself (that is 1, by definition!).

## Parity of 32983

32983 is an odd number, because it is not evenly divisible by 2.

## Is 32983 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 32983 is about 181.612.

Thus, the square root of 32983 is not an integer, and therefore 32983 is not a square number.

Anyway, 32983 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 32983?

The square of a number (here 32983) is the result of the product of this number (32983) by itself (i.e., 32983 × 32983); the square of 32983 is sometimes called "raising 32983 to the power 2", or "32983 squared".

The square of 32983 is 1 087 878 289 because 32983 × 32983 = 329832 = 1 087 878 289.

As a consequence, 32983 is the square root of 1 087 878 289.

## Number of digits of 32983

32983 is a number with 5 digits.

## What are the multiples of 32983?

The multiples of 32983 are all integers evenly divisible by 32983, that is all numbers such that the remainder of the division by 32983 is zero. There are infinitely many multiples of 32983. The smallest multiples of 32983 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 32983 too, since 0 × 32983 = 0
• 32983: indeed, 32983 is a multiple of itself, since 32983 is evenly divisible by 32983 (we have 32983 / 32983 = 1, so the remainder of this division is indeed zero)
• 65 966: indeed, 65 966 = 32983 × 2
• 98 949: indeed, 98 949 = 32983 × 3
• 131 932: indeed, 131 932 = 32983 × 4
• 164 915: indeed, 164 915 = 32983 × 5
• etc.

## Nearest numbers from 32983

Find out whether some integer is a prime number