Is 1627 a prime number? What are the divisors of 1627?

## Is 1627 a prime number?

Yes, 1627 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 1627, the only two divisors are 1 and 1627. Therefore 1627 is a prime number.

As a consequence, 1627 is only a multiple of 1 and 1627.

Since 1627 is a prime number, 1627 is also a deficient number, that is to say 1627 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1627 without 1627 itself (that is 1, by definition!).

## Parity of 1627

1627 is an odd number, because it is not evenly divisible by 2.

## Is 1627 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 1627 is about 40.336.

Thus, the square root of 1627 is not an integer, and therefore 1627 is not a square number.

Anyway, 1627 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1627?

The square of a number (here 1627) is the result of the product of this number (1627) by itself (i.e., 1627 × 1627); the square of 1627 is sometimes called "raising 1627 to the power 2", or "1627 squared".

The square of 1627 is 2 647 129 because 1627 × 1627 = 16272 = 2 647 129.

As a consequence, 1627 is the square root of 2 647 129.

## Number of digits of 1627

1627 is a number with 4 digits.

## What are the multiples of 1627?

The multiples of 1627 are all integers evenly divisible by 1627, that is all numbers such that the remainder of the division by 1627 is zero. There are infinitely many multiples of 1627. The smallest multiples of 1627 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1627 too, since 0 × 1627 = 0
• 1627: indeed, 1627 is a multiple of itself, since 1627 is evenly divisible by 1627 (we have 1627 / 1627 = 1, so the remainder of this division is indeed zero)
• 3 254: indeed, 3 254 = 1627 × 2
• 4 881: indeed, 4 881 = 1627 × 3
• 6 508: indeed, 6 508 = 1627 × 4
• 8 135: indeed, 8 135 = 1627 × 5
• etc.

## Nearest numbers from 1627

Find out whether some integer is a prime number