385805 has 16 divisors (see below), whose sum is σ = 539904. Its totient is φ = 259200.

The previous prime is 385793. The next prime is 385811. The reversal of 385805 is 508583.

385805 = T₁₁₄ + T₁₁₅ + ... + T₁₅₅.

It is not a de Polignac number, because 385805 - 2⁶ = 385741 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2480 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (33744).

2³⁸⁵⁸⁰⁵ is an apocalyptic number.

385805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

385805 is a deficient number, since it is larger than the sum of its proper divisors (154099).

385805 is a wasteful number, since it uses less digits than its factorization.

385805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 385805 is about 621.1320310530. The cubic root of 385805 is about 72.7985312468.

The spelling of 385805 in words is "three hundred eighty-five thousand, eight hundred five".