## Is 4409 a prime number?

Yes, 4409 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 4409, the only two divisors are 1 and 4409. Therefore 4409 is a prime number.

As a consequence, 4409 is only a multiple of 1 and 4409.

Since 4409 is a prime number, 4409 is also a deficient number, that is to say 4409 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4409 without 4409 itself (that is 1, by definition!).

## Parity of 4409

4409 is an odd number, because it is not evenly divisible by 2.

## Is 4409 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 4409 is about 66.400.

Thus, the square root of 4409 is not an integer, and therefore 4409 is not a square number.

Anyway, 4409 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4409?

The square of a number (here 4409) is the result of the product of this number (4409) by itself (i.e., 4409 × 4409); the square of 4409 is sometimes called "raising 4409 to the power 2", or "4409 squared".

The square of 4409 is 19 439 281 because 4409 × 4409 = 4409^{2} = 19 439 281.

As a consequence, 4409 is the square root of 19 439 281.

## Number of digits of 4409

4409 is a number with 4 digits.

## What are the multiples of 4409?

The multiples of 4409 are all integers evenly divisible by 4409, that is all numbers such that the remainder of the division by 4409 is zero. There are infinitely many multiples of 4409. The smallest multiples of 4409 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4409 too, since 0 × 4409 = 0
- 4409: indeed, 4409 is a multiple of itself, since 4409 is evenly divisible by 4409 (we have 4409 / 4409 = 1, so the remainder of this division is indeed zero)
- 8 818: indeed, 8 818 = 4409 × 2
- 13 227: indeed, 13 227 = 4409 × 3
- 17 636: indeed, 17 636 = 4409 × 4
- 22 045: indeed, 22 045 = 4409 × 5
- etc.