## Is 2089 a prime number?

Yes, 2089 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 2089, the only two divisors are 1 and 2089. Therefore 2089 is a prime number.

As a consequence, 2089 is only a multiple of 1 and 2089.

Therefore year 2089 will be a prime year.

Since 2089 is a prime number, 2089 is also a deficient number, that is to say 2089 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2089 without 2089 itself (that is 1, by definition!).

## Parity of 2089

2089 is an odd number, because it is not evenly divisible by 2.

## Is 2089 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 2089 is about 45.706.

Thus, the square root of 2089 is not an integer, and therefore 2089 is not a square number.

Anyway, 2089 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2089?

The square of a number (here 2089) is the result of the product of this number (2089) by itself (i.e., 2089 × 2089); the square of 2089 is sometimes called "raising 2089 to the power 2", or "2089 squared".

The square of 2089 is 4 363 921 because 2089 × 2089 = 2089^{2} = 4 363 921.

As a consequence, 2089 is the square root of 4 363 921.

## Number of digits of 2089

2089 is a number with 4 digits.

## What are the multiples of 2089?

The multiples of 2089 are all integers evenly divisible by 2089, that is all numbers such that the remainder of the division by 2089 is zero. There are infinitely many multiples of 2089. The smallest multiples of 2089 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2089 too, since 0 × 2089 = 0
- 2089: indeed, 2089 is a multiple of itself, since 2089 is evenly divisible by 2089 (we have 2089 / 2089 = 1, so the remainder of this division is indeed zero)
- 4 178: indeed, 4 178 = 2089 × 2
- 6 267: indeed, 6 267 = 2089 × 3
- 8 356: indeed, 8 356 = 2089 × 4
- 10 445: indeed, 10 445 = 2089 × 5
- etc.