Is 7789 a prime number? What are the divisors of 7789?

## Is 7789 a prime number?

Yes, 7789 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 7789, the only two divisors are 1 and 7789. Therefore 7789 is a prime number.

As a consequence, 7789 is only a multiple of 1 and 7789.

Since 7789 is a prime number, 7789 is also a deficient number, that is to say 7789 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7789 without 7789 itself (that is 1, by definition!).

## Parity of 7789

7789 is an odd number, because it is not evenly divisible by 2.

## Is 7789 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 7789 is about 88.255.

Thus, the square root of 7789 is not an integer, and therefore 7789 is not a square number.

Anyway, 7789 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7789?

The square of a number (here 7789) is the result of the product of this number (7789) by itself (i.e., 7789 × 7789); the square of 7789 is sometimes called "raising 7789 to the power 2", or "7789 squared".

The square of 7789 is 60 668 521 because 7789 × 7789 = 77892 = 60 668 521.

As a consequence, 7789 is the square root of 60 668 521.

## Number of digits of 7789

7789 is a number with 4 digits.

## What are the multiples of 7789?

The multiples of 7789 are all integers evenly divisible by 7789, that is all numbers such that the remainder of the division by 7789 is zero. There are infinitely many multiples of 7789. The smallest multiples of 7789 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7789 too, since 0 × 7789 = 0
• 7789: indeed, 7789 is a multiple of itself, since 7789 is evenly divisible by 7789 (we have 7789 / 7789 = 1, so the remainder of this division is indeed zero)
• 15 578: indeed, 15 578 = 7789 × 2
• 23 367: indeed, 23 367 = 7789 × 3
• 31 156: indeed, 31 156 = 7789 × 4
• 38 945: indeed, 38 945 = 7789 × 5
• etc.

## Nearest numbers from 7789

Find out whether some integer is a prime number