Is 4787 a prime number? What are the divisors of 4787?

## Is 4787 a prime number?

Yes, 4787 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 4787, the only two divisors are 1 and 4787. Therefore 4787 is a prime number.

As a consequence, 4787 is only a multiple of 1 and 4787.

Since 4787 is a prime number, 4787 is also a deficient number, that is to say 4787 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4787 without 4787 itself (that is 1, by definition!).

## Parity of 4787

4787 is an odd number, because it is not evenly divisible by 2.

## Is 4787 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 4787 is about 69.188.

Thus, the square root of 4787 is not an integer, and therefore 4787 is not a square number.

Anyway, 4787 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4787?

The square of a number (here 4787) is the result of the product of this number (4787) by itself (i.e., 4787 × 4787); the square of 4787 is sometimes called "raising 4787 to the power 2", or "4787 squared".

The square of 4787 is 22 915 369 because 4787 × 4787 = 47872 = 22 915 369.

As a consequence, 4787 is the square root of 22 915 369.

## Number of digits of 4787

4787 is a number with 4 digits.

## What are the multiples of 4787?

The multiples of 4787 are all integers evenly divisible by 4787, that is all numbers such that the remainder of the division by 4787 is zero. There are infinitely many multiples of 4787. The smallest multiples of 4787 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4787 too, since 0 × 4787 = 0
• 4787: indeed, 4787 is a multiple of itself, since 4787 is evenly divisible by 4787 (we have 4787 / 4787 = 1, so the remainder of this division is indeed zero)
• 9 574: indeed, 9 574 = 4787 × 2
• 14 361: indeed, 14 361 = 4787 × 3
• 19 148: indeed, 19 148 = 4787 × 4
• 23 935: indeed, 23 935 = 4787 × 5
• etc.

## Nearest numbers from 4787

Find out whether some integer is a prime number