Is 4391 a prime number? What are the divisors of 4391?

## Is 4391 a prime number?

Yes, 4391 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 4391, the only two divisors are 1 and 4391. Therefore 4391 is a prime number.

As a consequence, 4391 is only a multiple of 1 and 4391.

Since 4391 is a prime number, 4391 is also a deficient number, that is to say 4391 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4391 without 4391 itself (that is 1, by definition!).

## Parity of 4391

4391 is an odd number, because it is not evenly divisible by 2.

## Is 4391 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 4391 is about 66.265.

Thus, the square root of 4391 is not an integer, and therefore 4391 is not a square number.

Anyway, 4391 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4391?

The square of a number (here 4391) is the result of the product of this number (4391) by itself (i.e., 4391 × 4391); the square of 4391 is sometimes called "raising 4391 to the power 2", or "4391 squared".

The square of 4391 is 19 280 881 because 4391 × 4391 = 43912 = 19 280 881.

As a consequence, 4391 is the square root of 19 280 881.

## Number of digits of 4391

4391 is a number with 4 digits.

## What are the multiples of 4391?

The multiples of 4391 are all integers evenly divisible by 4391, that is all numbers such that the remainder of the division by 4391 is zero. There are infinitely many multiples of 4391. The smallest multiples of 4391 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4391 too, since 0 × 4391 = 0
• 4391: indeed, 4391 is a multiple of itself, since 4391 is evenly divisible by 4391 (we have 4391 / 4391 = 1, so the remainder of this division is indeed zero)
• 8 782: indeed, 8 782 = 4391 × 2
• 13 173: indeed, 13 173 = 4391 × 3
• 17 564: indeed, 17 564 = 4391 × 4
• 21 955: indeed, 21 955 = 4391 × 5
• etc.

## Nearest numbers from 4391

Find out whether some integer is a prime number