Is 1373 a prime number? What are the divisors of 1373?

## Is 1373 a prime number?

Yes, 1373 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 1373, the only two divisors are 1 and 1373. Therefore 1373 is a prime number.

As a consequence, 1373 is only a multiple of 1 and 1373.

Since 1373 is a prime number, 1373 is also a deficient number, that is to say 1373 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1373 without 1373 itself (that is 1, by definition!).

## Parity of 1373

1373 is an odd number, because it is not evenly divisible by 2.

## Is 1373 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 1373 is about 37.054.

Thus, the square root of 1373 is not an integer, and therefore 1373 is not a square number.

Anyway, 1373 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1373?

The square of a number (here 1373) is the result of the product of this number (1373) by itself (i.e., 1373 × 1373); the square of 1373 is sometimes called "raising 1373 to the power 2", or "1373 squared".

The square of 1373 is 1 885 129 because 1373 × 1373 = 13732 = 1 885 129.

As a consequence, 1373 is the square root of 1 885 129.

## Number of digits of 1373

1373 is a number with 4 digits.

## What are the multiples of 1373?

The multiples of 1373 are all integers evenly divisible by 1373, that is all numbers such that the remainder of the division by 1373 is zero. There are infinitely many multiples of 1373. The smallest multiples of 1373 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1373 too, since 0 × 1373 = 0
• 1373: indeed, 1373 is a multiple of itself, since 1373 is evenly divisible by 1373 (we have 1373 / 1373 = 1, so the remainder of this division is indeed zero)
• 2 746: indeed, 2 746 = 1373 × 2
• 4 119: indeed, 4 119 = 1373 × 3
• 5 492: indeed, 5 492 = 1373 × 4
• 6 865: indeed, 6 865 = 1373 × 5
• etc.

## Nearest numbers from 1373

Find out whether some integer is a prime number