385909 has 6 divisors (see below), whose sum is σ = 407670. Its totient is φ = 365256.

The previous prime is 385907. The next prime is 385927. The reversal of 385909 is 909583.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 61009 = 570^2 + 247^2 .

It is not a de Polignac number, because 385909 - 2¹ = 385907 is a prime.

It is a Duffinian number.

385909 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (67945).

2³⁸⁵⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

385909 is a deficient number, since it is larger than the sum of its proper divisors (21761).

385909 is a wasteful number, since it uses less digits than its factorization.

385909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 385909 is about 621.2157435223. The cubic root of 385909 is about 72.8050720010.

The spelling of 385909 in words is "three hundred eighty-five thousand, nine hundred nine".