385892 has 24 divisors (see below), whose sum is σ = 749112. Its totient is φ = 172800.

The previous prime is 385877. The next prime is 385897. The reversal of 385892 is 298583.

385892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 320356 = 256^2 + 566^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (385897) by changing a digit.

385892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (31213).

2³⁸⁵⁸⁹² is an apocalyptic number.

It is an amenable number.

385892 is a deficient number, since it is larger than the sum of its proper divisors (363220).

385892 is a wasteful number, since it uses less digits than its factorization.

385892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 385892 is about 621.2020605246. The cubic root of 385892 is about 72.8040029196.

The spelling of 385892 in words is "three hundred eighty-five thousand, eight hundred ninety-two".