Is 10321 a prime number? What are the divisors of 10321?

## Is 10321 a prime number?

Yes, 10321 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 10321, the only two divisors are 1 and 10321. Therefore 10321 is a prime number.

As a consequence, 10321 is only a multiple of 1 and 10321.

Since 10321 is a prime number, 10321 is also a deficient number, that is to say 10321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10321 without 10321 itself (that is 1, by definition!).

## Parity of 10321

10321 is an odd number, because it is not evenly divisible by 2.

## Is 10321 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 10321 is about 101.592.

Thus, the square root of 10321 is not an integer, and therefore 10321 is not a square number.

Anyway, 10321 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10321?

The square of a number (here 10321) is the result of the product of this number (10321) by itself (i.e., 10321 × 10321); the square of 10321 is sometimes called "raising 10321 to the power 2", or "10321 squared".

The square of 10321 is 106 523 041 because 10321 × 10321 = 103212 = 106 523 041.

As a consequence, 10321 is the square root of 106 523 041.

## Number of digits of 10321

10321 is a number with 5 digits.

## What are the multiples of 10321?

The multiples of 10321 are all integers evenly divisible by 10321, that is all numbers such that the remainder of the division by 10321 is zero. There are infinitely many multiples of 10321. The smallest multiples of 10321 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10321 too, since 0 × 10321 = 0
• 10321: indeed, 10321 is a multiple of itself, since 10321 is evenly divisible by 10321 (we have 10321 / 10321 = 1, so the remainder of this division is indeed zero)
• 20 642: indeed, 20 642 = 10321 × 2
• 30 963: indeed, 30 963 = 10321 × 3
• 41 284: indeed, 41 284 = 10321 × 4
• 51 605: indeed, 51 605 = 10321 × 5
• etc.

## Nearest numbers from 10321

Find out whether some integer is a prime number