Is 1321 a prime number? What are the divisors of 1321?

## Is 1321 a prime number?

Yes, 1321 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 1321, the only two divisors are 1 and 1321. Therefore 1321 is a prime number.

As a consequence, 1321 is only a multiple of 1 and 1321.

Since 1321 is a prime number, 1321 is also a deficient number, that is to say 1321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1321 without 1321 itself (that is 1, by definition!).

## Parity of 1321

1321 is an odd number, because it is not evenly divisible by 2.

## Is 1321 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 1321 is about 36.346.

Thus, the square root of 1321 is not an integer, and therefore 1321 is not a square number.

Anyway, 1321 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1321?

The square of a number (here 1321) is the result of the product of this number (1321) by itself (i.e., 1321 × 1321); the square of 1321 is sometimes called "raising 1321 to the power 2", or "1321 squared".

The square of 1321 is 1 745 041 because 1321 × 1321 = 13212 = 1 745 041.

As a consequence, 1321 is the square root of 1 745 041.

## Number of digits of 1321

1321 is a number with 4 digits.

## What are the multiples of 1321?

The multiples of 1321 are all integers evenly divisible by 1321, that is all numbers such that the remainder of the division by 1321 is zero. There are infinitely many multiples of 1321. The smallest multiples of 1321 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1321 too, since 0 × 1321 = 0
• 1321: indeed, 1321 is a multiple of itself, since 1321 is evenly divisible by 1321 (we have 1321 / 1321 = 1, so the remainder of this division is indeed zero)
• 2 642: indeed, 2 642 = 1321 × 2
• 3 963: indeed, 3 963 = 1321 × 3
• 5 284: indeed, 5 284 = 1321 × 4
• 6 605: indeed, 6 605 = 1321 × 5
• etc.

## Nearest numbers from 1321

Find out whether some integer is a prime number