Is 1427 a prime number? What are the divisors of 1427?

## Is 1427 a prime number?

Yes, 1427 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 1427, the only two divisors are 1 and 1427. Therefore 1427 is a prime number.

As a consequence, 1427 is only a multiple of 1 and 1427.

Since 1427 is a prime number, 1427 is also a deficient number, that is to say 1427 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1427 without 1427 itself (that is 1, by definition!).

## Parity of 1427

1427 is an odd number, because it is not evenly divisible by 2.

## Is 1427 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 1427 is about 37.776.

Thus, the square root of 1427 is not an integer, and therefore 1427 is not a square number.

Anyway, 1427 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1427?

The square of a number (here 1427) is the result of the product of this number (1427) by itself (i.e., 1427 × 1427); the square of 1427 is sometimes called "raising 1427 to the power 2", or "1427 squared".

The square of 1427 is 2 036 329 because 1427 × 1427 = 14272 = 2 036 329.

As a consequence, 1427 is the square root of 2 036 329.

## Number of digits of 1427

1427 is a number with 4 digits.

## What are the multiples of 1427?

The multiples of 1427 are all integers evenly divisible by 1427, that is all numbers such that the remainder of the division by 1427 is zero. There are infinitely many multiples of 1427. The smallest multiples of 1427 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1427 too, since 0 × 1427 = 0
• 1427: indeed, 1427 is a multiple of itself, since 1427 is evenly divisible by 1427 (we have 1427 / 1427 = 1, so the remainder of this division is indeed zero)
• 2 854: indeed, 2 854 = 1427 × 2
• 4 281: indeed, 4 281 = 1427 × 3
• 5 708: indeed, 5 708 = 1427 × 4
• 7 135: indeed, 7 135 = 1427 × 5
• etc.

## Nearest numbers from 1427

Find out whether some integer is a prime number