385785 has 12 divisors (see below), whose sum is σ = 668772. Its totient is φ = 205728.

The previous prime is 385783. The next prime is 385793. The reversal of 385785 is 587583.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131769 + 254016 = 363^2 + 504^2 .

It is not a de Polignac number, because 385785 - 2¹ = 385783 is a prime.

385785 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (385783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4242 + ... + 4331.

It is an arithmetic number, because the mean of its divisors is an integer number (55731).

2³⁸⁵⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

385785 is a deficient number, since it is larger than the sum of its proper divisors (282987).

385785 is a wasteful number, since it uses less digits than its factorization.

385785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8581 counting only the distinct ones).

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

The square root of 385785 is about 621.1159312077. The cubic root of 385785 is about 72.7972732747.

It can be divided in two parts, 38578 and 5, that added together give a palindrome (38583).

The spelling of 385785 in words is "three hundred eighty-five thousand, seven hundred eighty-five".