Is 2389 a prime number? What are the divisors of 2389?

## Is 2389 a prime number?

Yes, 2389 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 2389, the only two divisors are 1 and 2389. Therefore 2389 is a prime number.

As a consequence, 2389 is only a multiple of 1 and 2389.

Since 2389 is a prime number, 2389 is also a deficient number, that is to say 2389 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2389 without 2389 itself (that is 1, by definition!).

## Parity of 2389

2389 is an odd number, because it is not evenly divisible by 2.

## Is 2389 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 2389 is about 48.877.

Thus, the square root of 2389 is not an integer, and therefore 2389 is not a square number.

Anyway, 2389 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2389?

The square of a number (here 2389) is the result of the product of this number (2389) by itself (i.e., 2389 × 2389); the square of 2389 is sometimes called "raising 2389 to the power 2", or "2389 squared".

The square of 2389 is 5 707 321 because 2389 × 2389 = 23892 = 5 707 321.

As a consequence, 2389 is the square root of 5 707 321.

## Number of digits of 2389

2389 is a number with 4 digits.

## What are the multiples of 2389?

The multiples of 2389 are all integers evenly divisible by 2389, that is all numbers such that the remainder of the division by 2389 is zero. There are infinitely many multiples of 2389. The smallest multiples of 2389 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2389 too, since 0 × 2389 = 0
• 2389: indeed, 2389 is a multiple of itself, since 2389 is evenly divisible by 2389 (we have 2389 / 2389 = 1, so the remainder of this division is indeed zero)
• 4 778: indeed, 4 778 = 2389 × 2
• 7 167: indeed, 7 167 = 2389 × 3
• 9 556: indeed, 9 556 = 2389 × 4
• 11 945: indeed, 11 945 = 2389 × 5
• etc.

## Nearest numbers from 2389

Find out whether some integer is a prime number