Is 3989 a prime number? What are the divisors of 3989?

## Is 3989 a prime number?

Yes, 3989 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 3989, the only two divisors are 1 and 3989. Therefore 3989 is a prime number.

As a consequence, 3989 is only a multiple of 1 and 3989.

Since 3989 is a prime number, 3989 is also a deficient number, that is to say 3989 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3989 without 3989 itself (that is 1, by definition!).

## Parity of 3989

3989 is an odd number, because it is not evenly divisible by 2.

## Is 3989 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 3989 is about 63.159.

Thus, the square root of 3989 is not an integer, and therefore 3989 is not a square number.

Anyway, 3989 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3989?

The square of a number (here 3989) is the result of the product of this number (3989) by itself (i.e., 3989 × 3989); the square of 3989 is sometimes called "raising 3989 to the power 2", or "3989 squared".

The square of 3989 is 15 912 121 because 3989 × 3989 = 39892 = 15 912 121.

As a consequence, 3989 is the square root of 15 912 121.

## Number of digits of 3989

3989 is a number with 4 digits.

## What are the multiples of 3989?

The multiples of 3989 are all integers evenly divisible by 3989, that is all numbers such that the remainder of the division by 3989 is zero. There are infinitely many multiples of 3989. The smallest multiples of 3989 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3989 too, since 0 × 3989 = 0
• 3989: indeed, 3989 is a multiple of itself, since 3989 is evenly divisible by 3989 (we have 3989 / 3989 = 1, so the remainder of this division is indeed zero)
• 7 978: indeed, 7 978 = 3989 × 2
• 11 967: indeed, 11 967 = 3989 × 3
• 15 956: indeed, 15 956 = 3989 × 4
• 19 945: indeed, 19 945 = 3989 × 5
• etc.

## Nearest numbers from 3989

Find out whether some integer is a prime number