Is 12373 a prime number? What are the divisors of 12373?

## Is 12373 a prime number?

Yes, 12373 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 12373, the only two divisors are 1 and 12373. Therefore 12373 is a prime number.

As a consequence, 12373 is only a multiple of 1 and 12373.

Since 12373 is a prime number, 12373 is also a deficient number, that is to say 12373 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 12373 without 12373 itself (that is 1, by definition!).

## Parity of 12373

12373 is an odd number, because it is not evenly divisible by 2.

## Is 12373 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 12373 is about 111.234.

Thus, the square root of 12373 is not an integer, and therefore 12373 is not a square number.

Anyway, 12373 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 12373?

The square of a number (here 12373) is the result of the product of this number (12373) by itself (i.e., 12373 × 12373); the square of 12373 is sometimes called "raising 12373 to the power 2", or "12373 squared".

The square of 12373 is 153 091 129 because 12373 × 12373 = 123732 = 153 091 129.

As a consequence, 12373 is the square root of 153 091 129.

## Number of digits of 12373

12373 is a number with 5 digits.

## What are the multiples of 12373?

The multiples of 12373 are all integers evenly divisible by 12373, that is all numbers such that the remainder of the division by 12373 is zero. There are infinitely many multiples of 12373. The smallest multiples of 12373 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12373 too, since 0 × 12373 = 0
• 12373: indeed, 12373 is a multiple of itself, since 12373 is evenly divisible by 12373 (we have 12373 / 12373 = 1, so the remainder of this division is indeed zero)
• 24 746: indeed, 24 746 = 12373 × 2
• 37 119: indeed, 37 119 = 12373 × 3
• 49 492: indeed, 49 492 = 12373 × 4
• 61 865: indeed, 61 865 = 12373 × 5
• etc.

## Nearest numbers from 12373

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