385385 has 36 divisors (see below), whose sum is σ = 636804. Its totient is φ = 221760.

The previous prime is 385379. The next prime is 385391. The reversal of 385385 is 583583.

It is an interprime number because it is at equal distance from previous prime (385379) and next prime (385391).

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 290521 = 308^2 + 539^2 .

It is not a de Polignac number, because 385385 - 2⁶ = 385321 is a prime.

Its product of digits (14400) is a multiple of the sum of its prime divisors (36).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29639 + ... + 29651.

It is an arithmetic number, because the mean of its divisors is an integer number (17689).

2³⁸⁵³⁸⁵ is an apocalyptic number.

385385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

385385 is a deficient number, since it is larger than the sum of its proper divisors (251419).

385385 is a wasteful number, since it uses less digits than its factorization.

385385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 385385 is about 620.7938466190. The cubic root of 385385 is about 72.7721046971.

The spelling of 385385 in words is "three hundred eighty-five thousand, three hundred eighty-five".