Is 1367 a prime number? What are the divisors of 1367?

## Is 1367 a prime number?

Yes, 1367 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 1367, the only two divisors are 1 and 1367. Therefore 1367 is a prime number.

As a consequence, 1367 is only a multiple of 1 and 1367.

Since 1367 is a prime number, 1367 is also a deficient number, that is to say 1367 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1367 without 1367 itself (that is 1, by definition!).

## Parity of 1367

1367 is an odd number, because it is not evenly divisible by 2.

## Is 1367 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 1367 is about 36.973.

Thus, the square root of 1367 is not an integer, and therefore 1367 is not a square number.

Anyway, 1367 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1367?

The square of a number (here 1367) is the result of the product of this number (1367) by itself (i.e., 1367 × 1367); the square of 1367 is sometimes called "raising 1367 to the power 2", or "1367 squared".

The square of 1367 is 1 868 689 because 1367 × 1367 = 13672 = 1 868 689.

As a consequence, 1367 is the square root of 1 868 689.

## Number of digits of 1367

1367 is a number with 4 digits.

## What are the multiples of 1367?

The multiples of 1367 are all integers evenly divisible by 1367, that is all numbers such that the remainder of the division by 1367 is zero. There are infinitely many multiples of 1367. The smallest multiples of 1367 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1367 too, since 0 × 1367 = 0
• 1367: indeed, 1367 is a multiple of itself, since 1367 is evenly divisible by 1367 (we have 1367 / 1367 = 1, so the remainder of this division is indeed zero)
• 2 734: indeed, 2 734 = 1367 × 2
• 4 101: indeed, 4 101 = 1367 × 3
• 5 468: indeed, 5 468 = 1367 × 4
• 6 835: indeed, 6 835 = 1367 × 5
• etc.

## Nearest numbers from 1367

Find out whether some integer is a prime number