385767 has 6 divisors (see below), whose sum is σ = 557232. Its totient is φ = 257172.

The previous prime is 385741. The next prime is 385771. The reversal of 385767 is 767583.

It is not a de Polignac number, because 385767 - 2⁷ = 385639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21423 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (92872).

2³⁸⁵⁷⁶⁷ is an apocalyptic number.

385767 is a deficient number, since it is larger than the sum of its proper divisors (171465).

385767 is a wasteful number, since it uses less digits than its factorization.

385767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42869 (or 42866 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 385767 is about 621.1014409901. The cubic root of 385767 is about 72.7961410626.

It can be divided in two parts, 38576 and 7, that added together give a palindrome (38583).

The spelling of 385767 in words is "three hundred eighty-five thousand, seven hundred sixty-seven".