385567 has 16 divisors (see below), whose sum is σ = 501760. Its totient is φ = 287712.

The previous prime is 385559. The next prime is 385571. The reversal of 385567 is 765583.

It is a happy number.

385567 is nontrivially palindromic in base 15.

It is a cyclic number.

It is not a de Polignac number, because 385567 - 2³ = 385559 is a prime.

It is a super-2 number, since 2×385567² = 297323822978, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385567.

It is not an unprimeable number, because it can be changed into a prime (385537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1618 + ... + 1840.

It is an arithmetic number, because the mean of its divisors is an integer number (31360).

2³⁸⁵⁵⁶⁷ is an apocalyptic number.

385567 is the 359-th hex number.

385567 is a deficient number, since it is larger than the sum of its proper divisors (116193).

385567 is a wasteful number, since it uses less digits than its factorization.

385567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 25200, while the sum is 34.

The square root of 385567 is about 620.9404158210. The cubic root of 385567 is about 72.7835585581.

The spelling of 385567 in words is "three hundred eighty-five thousand, five hundred sixty-seven".