385857 has 16 divisors (see below), whose sum is σ = 591360. Its totient is φ = 248400.

The previous prime is 385843. The next prime is 385859. The reversal of 385857 is 758583.

It is a happy number.

It is not a de Polignac number, because 385857 - 2⁶ = 385793 is a prime.

385857 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (385859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2³⁸⁵⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

385857 is a deficient number, since it is larger than the sum of its proper divisors (205503).

385857 is a wasteful number, since it uses less digits than its factorization.

385857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 385857 is about 621.1738886978. The cubic root of 385857 is about 72.8018017708.

The spelling of 385857 in words is "three hundred eighty-five thousand, eight hundred fifty-seven".