## Is 38723 a prime number?

Yes, 38723 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 38723, the only two divisors are 1 and 38723. Therefore 38723 is a prime number.

As a consequence, 38723 is only a multiple of 1 and 38723.

Since 38723 is a prime number, 38723 is also a deficient number, that is to say 38723 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38723 without 38723 itself (that is 1, by definition!).

## Parity of 38723

38723 is an odd number, because it is not evenly divisible by 2.

## Is 38723 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 38723 is about 196.782.

Thus, the square root of 38723 is not an integer, and therefore 38723 is not a square number.

Anyway, 38723 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 38723?

The square of a number (here 38723) is the result of the product of this number (38723) by itself (i.e., 38723 × 38723); the square of 38723 is sometimes called "raising 38723 to the power 2", or "38723 squared".

The square of 38723 is 1 499 470 729 because 38723 × 38723 = 38723^{2} = 1 499 470 729.

As a consequence, 38723 is the square root of 1 499 470 729.

## Number of digits of 38723

38723 is a number with 5 digits.

## What are the multiples of 38723?

The multiples of 38723 are all integers evenly divisible by 38723, that is all numbers such that the remainder of the division by 38723 is zero. There are infinitely many multiples of 38723. The smallest multiples of 38723 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 38723 too, since 0 × 38723 = 0
- 38723: indeed, 38723 is a multiple of itself, since 38723 is evenly divisible by 38723 (we have 38723 / 38723 = 1, so the remainder of this division is indeed zero)
- 77 446: indeed, 77 446 = 38723 × 2
- 116 169: indeed, 116 169 = 38723 × 3
- 154 892: indeed, 154 892 = 38723 × 4
- 193 615: indeed, 193 615 = 38723 × 5
- etc.