385824209 has 2 divisors, whose sum is σ = 385824210. Its totient is φ = 385824208.

The previous prime is 385824191. The next prime is 385824221. The reversal of 385824209 is 902428583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246584209 + 139240000 = 15703^2 + 11800^2 .

It is a cyclic number.

It is not a de Polignac number, because 385824209 - 2⁸ = 385823953 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (385824239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192912104 + 192912105.

It is an arithmetic number, because the mean of its divisors is an integer number (192912105).

Almost surely, 2^385824209 is an apocalyptic number.

It is an amenable number.

385824209 is a deficient number, since it is larger than the sum of its proper divisors (1).

385824209 is an equidigital number, since it uses as much as digits as its factorization.

385824209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 385824209 is about 19642.4084317581. The cubic root of 385824209 is about 727.9973942516.

The spelling of 385824209 in words is "three hundred eighty-five million, eight hundred twenty-four thousand, two hundred nine".