385677 has 6 divisors (see below), whose sum is σ = 557102. Its totient is φ = 257112.

The previous prime is 385663. The next prime is 385709. The reversal of 385677 is 776583.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 36 = 621^2 + 6^2 .

It is not a de Polignac number, because 385677 - 2⁴ = 385661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385607) 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, 21418 + ... + 21435.

2³⁸⁵⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

385677 is a deficient number, since it is larger than the sum of its proper divisors (171425).

385677 is a wasteful number, since it uses less digits than its factorization.

385677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42859 (or 42856 counting only the distinct ones).

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

The square root of 385677 is about 621.0289848308. The cubic root of 385677 is about 72.7904794739.

Subtracting from 385677 its sum of digits (36), we obtain a square (385641 = 621²).

The spelling of 385677 in words is "three hundred eighty-five thousand, six hundred seventy-seven".