Is 2789 a prime number? What are the divisors of 2789?

## Is 2789 a prime number?

Yes, 2789 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 2789, the only two divisors are 1 and 2789. Therefore 2789 is a prime number.

As a consequence, 2789 is only a multiple of 1 and 2789.

Since 2789 is a prime number, 2789 is also a deficient number, that is to say 2789 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2789 without 2789 itself (that is 1, by definition!).

## Parity of 2789

2789 is an odd number, because it is not evenly divisible by 2.

## Is 2789 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 2789 is about 52.811.

Thus, the square root of 2789 is not an integer, and therefore 2789 is not a square number.

Anyway, 2789 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2789?

The square of a number (here 2789) is the result of the product of this number (2789) by itself (i.e., 2789 × 2789); the square of 2789 is sometimes called "raising 2789 to the power 2", or "2789 squared".

The square of 2789 is 7 778 521 because 2789 × 2789 = 27892 = 7 778 521.

As a consequence, 2789 is the square root of 7 778 521.

## Number of digits of 2789

2789 is a number with 4 digits.

## What are the multiples of 2789?

The multiples of 2789 are all integers evenly divisible by 2789, that is all numbers such that the remainder of the division by 2789 is zero. There are infinitely many multiples of 2789. The smallest multiples of 2789 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2789 too, since 0 × 2789 = 0
• 2789: indeed, 2789 is a multiple of itself, since 2789 is evenly divisible by 2789 (we have 2789 / 2789 = 1, so the remainder of this division is indeed zero)
• 5 578: indeed, 5 578 = 2789 × 2
• 8 367: indeed, 8 367 = 2789 × 3
• 11 156: indeed, 11 156 = 2789 × 4
• 13 945: indeed, 13 945 = 2789 × 5
• etc.

## Nearest numbers from 2789

Find out whether some integer is a prime number