Is 4889 a prime number? What are the divisors of 4889?

## Is 4889 a prime number?

Yes, 4889 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 4889, the only two divisors are 1 and 4889. Therefore 4889 is a prime number.

As a consequence, 4889 is only a multiple of 1 and 4889.

Since 4889 is a prime number, 4889 is also a deficient number, that is to say 4889 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4889 without 4889 itself (that is 1, by definition!).

## Parity of 4889

4889 is an odd number, because it is not evenly divisible by 2.

## Is 4889 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 4889 is about 69.921.

Thus, the square root of 4889 is not an integer, and therefore 4889 is not a square number.

Anyway, 4889 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4889?

The square of a number (here 4889) is the result of the product of this number (4889) by itself (i.e., 4889 × 4889); the square of 4889 is sometimes called "raising 4889 to the power 2", or "4889 squared".

The square of 4889 is 23 902 321 because 4889 × 4889 = 48892 = 23 902 321.

As a consequence, 4889 is the square root of 23 902 321.

## Number of digits of 4889

4889 is a number with 4 digits.

## What are the multiples of 4889?

The multiples of 4889 are all integers evenly divisible by 4889, that is all numbers such that the remainder of the division by 4889 is zero. There are infinitely many multiples of 4889. The smallest multiples of 4889 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4889 too, since 0 × 4889 = 0
• 4889: indeed, 4889 is a multiple of itself, since 4889 is evenly divisible by 4889 (we have 4889 / 4889 = 1, so the remainder of this division is indeed zero)
• 9 778: indeed, 9 778 = 4889 × 2
• 14 667: indeed, 14 667 = 4889 × 3
• 19 556: indeed, 19 556 = 4889 × 4
• 24 445: indeed, 24 445 = 4889 × 5
• etc.

## Nearest numbers from 4889

Find out whether some integer is a prime number