385524 has 18 divisors (see below), whose sum is σ = 974610. Its totient is φ = 128496.

The previous prime is 385519. The next prime is 385531. The reversal of 385524 is 425583.

385524 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 only one way, i.e., 381924 + 3600 = 618^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5319 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (54145).

2³⁸⁵⁵²⁴ is an apocalyptic number.

It is an amenable number.

385524 is an abundant number, since it is smaller than the sum of its proper divisors (589086).

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

385524 is a wasteful number, since it uses less digits than its factorization.

385524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10714 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 385524 is about 620.9057899553. The cubic root of 385524 is about 72.7808527514.

It can be divided in two parts, 385 and 524, that added together give a palindrome (909).

The spelling of 385524 in words is "three hundred eighty-five thousand, five hundred twenty-four".