Is 7027 a prime number? What are the divisors of 7027?

## Is 7027 a prime number?

Yes, 7027 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 7027, the only two divisors are 1 and 7027. Therefore 7027 is a prime number.

As a consequence, 7027 is only a multiple of 1 and 7027.

Since 7027 is a prime number, 7027 is also a deficient number, that is to say 7027 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7027 without 7027 itself (that is 1, by definition!).

## Parity of 7027

7027 is an odd number, because it is not evenly divisible by 2.

## Is 7027 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 7027 is about 83.827.

Thus, the square root of 7027 is not an integer, and therefore 7027 is not a square number.

Anyway, 7027 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7027?

The square of a number (here 7027) is the result of the product of this number (7027) by itself (i.e., 7027 × 7027); the square of 7027 is sometimes called "raising 7027 to the power 2", or "7027 squared".

The square of 7027 is 49 378 729 because 7027 × 7027 = 70272 = 49 378 729.

As a consequence, 7027 is the square root of 49 378 729.

## Number of digits of 7027

7027 is a number with 4 digits.

## What are the multiples of 7027?

The multiples of 7027 are all integers evenly divisible by 7027, that is all numbers such that the remainder of the division by 7027 is zero. There are infinitely many multiples of 7027. The smallest multiples of 7027 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7027 too, since 0 × 7027 = 0
• 7027: indeed, 7027 is a multiple of itself, since 7027 is evenly divisible by 7027 (we have 7027 / 7027 = 1, so the remainder of this division is indeed zero)
• 14 054: indeed, 14 054 = 7027 × 2
• 21 081: indeed, 21 081 = 7027 × 3
• 28 108: indeed, 28 108 = 7027 × 4
• 35 135: indeed, 35 135 = 7027 × 5
• etc.

## Nearest numbers from 7027

Find out whether some integer is a prime number