Is 3823 a prime number? What are the divisors of 3823?

## Is 3823 a prime number?

Yes, 3823 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 3823, the only two divisors are 1 and 3823. Therefore 3823 is a prime number.

As a consequence, 3823 is only a multiple of 1 and 3823.

Since 3823 is a prime number, 3823 is also a deficient number, that is to say 3823 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3823 without 3823 itself (that is 1, by definition!).

## Parity of 3823

3823 is an odd number, because it is not evenly divisible by 2.

## Is 3823 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 3823 is about 61.830.

Thus, the square root of 3823 is not an integer, and therefore 3823 is not a square number.

Anyway, 3823 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3823?

The square of a number (here 3823) is the result of the product of this number (3823) by itself (i.e., 3823 × 3823); the square of 3823 is sometimes called "raising 3823 to the power 2", or "3823 squared".

The square of 3823 is 14 615 329 because 3823 × 3823 = 38232 = 14 615 329.

As a consequence, 3823 is the square root of 14 615 329.

## Number of digits of 3823

3823 is a number with 4 digits.

## What are the multiples of 3823?

The multiples of 3823 are all integers evenly divisible by 3823, that is all numbers such that the remainder of the division by 3823 is zero. There are infinitely many multiples of 3823. The smallest multiples of 3823 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3823 too, since 0 × 3823 = 0
• 3823: indeed, 3823 is a multiple of itself, since 3823 is evenly divisible by 3823 (we have 3823 / 3823 = 1, so the remainder of this division is indeed zero)
• 7 646: indeed, 7 646 = 3823 × 2
• 11 469: indeed, 11 469 = 3823 × 3
• 15 292: indeed, 15 292 = 3823 × 4
• 19 115: indeed, 19 115 = 3823 × 5
• etc.

## Nearest numbers from 3823

Find out whether some integer is a prime number