## Is 2083 a prime number?

Yes, 2083 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 2083, the only two divisors are 1 and 2083. Therefore 2083 is a prime number.

As a consequence, 2083 is only a multiple of 1 and 2083.

Therefore year 2083 will be a prime year.

Since 2083 is a prime number, 2083 is also a deficient number, that is to say 2083 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2083 without 2083 itself (that is 1, by definition!).

## Parity of 2083

2083 is an odd number, because it is not evenly divisible by 2.

## Is 2083 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 2083 is about 45.640.

Thus, the square root of 2083 is not an integer, and therefore 2083 is not a square number.

Anyway, 2083 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2083?

The square of a number (here 2083) is the result of the product of this number (2083) by itself (i.e., 2083 × 2083); the square of 2083 is sometimes called "raising 2083 to the power 2", or "2083 squared".

The square of 2083 is 4 338 889 because 2083 × 2083 = 2083^{2} = 4 338 889.

As a consequence, 2083 is the square root of 4 338 889.

## Number of digits of 2083

2083 is a number with 4 digits.

## What are the multiples of 2083?

The multiples of 2083 are all integers evenly divisible by 2083, that is all numbers such that the remainder of the division by 2083 is zero. There are infinitely many multiples of 2083. The smallest multiples of 2083 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2083 too, since 0 × 2083 = 0
- 2083: indeed, 2083 is a multiple of itself, since 2083 is evenly divisible by 2083 (we have 2083 / 2083 = 1, so the remainder of this division is indeed zero)
- 4 166: indeed, 4 166 = 2083 × 2
- 6 249: indeed, 6 249 = 2083 × 3
- 8 332: indeed, 8 332 = 2083 × 4
- 10 415: indeed, 10 415 = 2083 × 5
- etc.