Is 4027 a prime number? What are the divisors of 4027?

## Is 4027 a prime number?

Yes, 4027 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 4027, the only two divisors are 1 and 4027. Therefore 4027 is a prime number.

As a consequence, 4027 is only a multiple of 1 and 4027.

Since 4027 is a prime number, 4027 is also a deficient number, that is to say 4027 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4027 without 4027 itself (that is 1, by definition!).

## Parity of 4027

4027 is an odd number, because it is not evenly divisible by 2.

## Is 4027 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 4027 is about 63.459.

Thus, the square root of 4027 is not an integer, and therefore 4027 is not a square number.

Anyway, 4027 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4027?

The square of a number (here 4027) is the result of the product of this number (4027) by itself (i.e., 4027 × 4027); the square of 4027 is sometimes called "raising 4027 to the power 2", or "4027 squared".

The square of 4027 is 16 216 729 because 4027 × 4027 = 40272 = 16 216 729.

As a consequence, 4027 is the square root of 16 216 729.

## Number of digits of 4027

4027 is a number with 4 digits.

## What are the multiples of 4027?

The multiples of 4027 are all integers evenly divisible by 4027, that is all numbers such that the remainder of the division by 4027 is zero. There are infinitely many multiples of 4027. The smallest multiples of 4027 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4027 too, since 0 × 4027 = 0
• 4027: indeed, 4027 is a multiple of itself, since 4027 is evenly divisible by 4027 (we have 4027 / 4027 = 1, so the remainder of this division is indeed zero)
• 8 054: indeed, 8 054 = 4027 × 2
• 12 081: indeed, 12 081 = 4027 × 3
• 16 108: indeed, 16 108 = 4027 × 4
• 20 135: indeed, 20 135 = 4027 × 5
• etc.

## Nearest numbers from 4027

Find out whether some integer is a prime number