Is 1789 a prime number? What are the divisors of 1789?

## Is 1789 a prime number?

Yes, 1789 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 1789, the only two divisors are 1 and 1789. Therefore 1789 is a prime number.

As a consequence, 1789 is only a multiple of 1 and 1789.

Therefore year 1789 was a prime year.

Since 1789 is a prime number, 1789 is also a deficient number, that is to say 1789 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1789 without 1789 itself (that is 1, by definition!).

## Parity of 1789

1789 is an odd number, because it is not evenly divisible by 2.

## Is 1789 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 1789 is about 42.297.

Thus, the square root of 1789 is not an integer, and therefore 1789 is not a square number.

Anyway, 1789 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1789?

The square of a number (here 1789) is the result of the product of this number (1789) by itself (i.e., 1789 × 1789); the square of 1789 is sometimes called "raising 1789 to the power 2", or "1789 squared".

The square of 1789 is 3 200 521 because 1789 × 1789 = 17892 = 3 200 521.

As a consequence, 1789 is the square root of 3 200 521.

## Number of digits of 1789

1789 is a number with 4 digits.

## What are the multiples of 1789?

The multiples of 1789 are all integers evenly divisible by 1789, that is all numbers such that the remainder of the division by 1789 is zero. There are infinitely many multiples of 1789. The smallest multiples of 1789 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1789 too, since 0 × 1789 = 0
• 1789: indeed, 1789 is a multiple of itself, since 1789 is evenly divisible by 1789 (we have 1789 / 1789 = 1, so the remainder of this division is indeed zero)
• 3 578: indeed, 3 578 = 1789 × 2
• 5 367: indeed, 5 367 = 1789 × 3
• 7 156: indeed, 7 156 = 1789 × 4
• 8 945: indeed, 8 945 = 1789 × 5
• etc.

## Nearest numbers from 1789

Find out whether some integer is a prime number