385825 has 24 divisors (see below), whose sum is σ = 553536. Its totient is φ = 264000.

The previous prime is 385817. The next prime is 385831. The reversal of 385825 is 528583.

It is not a de Polignac number, because 385825 - 2³ = 385817 is a prime.

It is a Duffinian number.

Its product of digits (9600) is a multiple of the sum of its prime divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6295 + ... + 6355.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

385825 is a Friedman number, since it can be written as 5^8-(8*5)^2*3, using all its digits and the basic arithmetic operations.

2³⁸⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

385825 is a deficient number, since it is larger than the sum of its proper divisors (167711).

385825 is a wasteful number, since it uses less digits than its factorization.

385825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 385825 is about 621.1481304810. The cubic root of 385825 is about 72.7997891754.

It can be divided in two parts, 3858 and 25, that added together give a palindrome (3883).

The spelling of 385825 in words is "three hundred eighty-five thousand, eight hundred twenty-five".