## Is 2081 a prime number?

Yes, 2081 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 2081, the only two divisors are 1 and 2081. Therefore 2081 is a prime number.

As a consequence, 2081 is only a multiple of 1 and 2081.

Therefore year 2081 will be a prime year.

Since 2081 is a prime number, 2081 is also a deficient number, that is to say 2081 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2081 without 2081 itself (that is 1, by definition!).

## Parity of 2081

2081 is an odd number, because it is not evenly divisible by 2.

## Is 2081 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 2081 is about 45.618.

Thus, the square root of 2081 is not an integer, and therefore 2081 is not a square number.

Anyway, 2081 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2081?

The square of a number (here 2081) is the result of the product of this number (2081) by itself (i.e., 2081 × 2081); the square of 2081 is sometimes called "raising 2081 to the power 2", or "2081 squared".

The square of 2081 is 4 330 561 because 2081 × 2081 = 2081^{2} = 4 330 561.

As a consequence, 2081 is the square root of 4 330 561.

## Number of digits of 2081

2081 is a number with 4 digits.

## What are the multiples of 2081?

The multiples of 2081 are all integers evenly divisible by 2081, that is all numbers such that the remainder of the division by 2081 is zero. There are infinitely many multiples of 2081. The smallest multiples of 2081 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2081 too, since 0 × 2081 = 0
- 2081: indeed, 2081 is a multiple of itself, since 2081 is evenly divisible by 2081 (we have 2081 / 2081 = 1, so the remainder of this division is indeed zero)
- 4 162: indeed, 4 162 = 2081 × 2
- 6 243: indeed, 6 243 = 2081 × 3
- 8 324: indeed, 8 324 = 2081 × 4
- 10 405: indeed, 10 405 = 2081 × 5
- etc.