382085209 has 9 divisors (see below), whose sum is σ = 420214431. Its totient is φ = 347154720.

The previous prime is 382085201. The next prime is 382085227. The reversal of 382085209 is 902580283.

The square root of 382085209 is 19547.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 193627225 + 188457984 = 13915^2 + 13728^2 .

It is not a de Polignac number, because 382085209 - 2³ = 382085201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382085201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214129 + ... + 215905.

Almost surely, 2^382085209 is an apocalyptic number.

382085209 is the 19547-th square number.

382085209 is the 9774-th centered octagonal number.

It is an amenable number.

382085209 is a deficient number, since it is larger than the sum of its proper divisors (38129222).

382085209 is an frugal number, since it uses more digits than its factorization.

382085209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 382085209 is about 725.6380963311.

The spelling of 382085209 in words is "three hundred eighty-two million, eighty-five thousand, two hundred nine".