Is 10973 a prime number? What are the divisors of 10973?

## Is 10973 a prime number?

Yes, 10973 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 10973, the only two divisors are 1 and 10973. Therefore 10973 is a prime number.

As a consequence, 10973 is only a multiple of 1 and 10973.

Since 10973 is a prime number, 10973 is also a deficient number, that is to say 10973 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10973 without 10973 itself (that is 1, by definition!).

## Parity of 10973

10973 is an odd number, because it is not evenly divisible by 2.

## Is 10973 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 10973 is about 104.752.

Thus, the square root of 10973 is not an integer, and therefore 10973 is not a square number.

Anyway, 10973 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10973?

The square of a number (here 10973) is the result of the product of this number (10973) by itself (i.e., 10973 × 10973); the square of 10973 is sometimes called "raising 10973 to the power 2", or "10973 squared".

The square of 10973 is 120 406 729 because 10973 × 10973 = 109732 = 120 406 729.

As a consequence, 10973 is the square root of 120 406 729.

## Number of digits of 10973

10973 is a number with 5 digits.

## What are the multiples of 10973?

The multiples of 10973 are all integers evenly divisible by 10973, that is all numbers such that the remainder of the division by 10973 is zero. There are infinitely many multiples of 10973. The smallest multiples of 10973 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10973 too, since 0 × 10973 = 0
• 10973: indeed, 10973 is a multiple of itself, since 10973 is evenly divisible by 10973 (we have 10973 / 10973 = 1, so the remainder of this division is indeed zero)
• 21 946: indeed, 21 946 = 10973 × 2
• 32 919: indeed, 32 919 = 10973 × 3
• 43 892: indeed, 43 892 = 10973 × 4
• 54 865: indeed, 54 865 = 10973 × 5
• etc.

## Nearest numbers from 10973

Find out whether some integer is a prime number