385605 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 172800.

The previous prime is 385597. The next prime is 385607. The reversal of 385605 is 506583.

It is not a de Polignac number, because 385605 - 2³ = 385597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9385 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁸⁵⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

385605 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385605 is a wasteful number, since it uses less digits than its factorization.

385605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 385605 is about 620.9710138163. The cubic root of 385605 is about 72.7859495688.

It can be divided in two parts, 385 and 605, that added together give a triangular number (990 = T₄₄).

The spelling of 385605 in words is "three hundred eighty-five thousand, six hundred five".