385815 has 24 divisors (see below), whose sum is σ = 663120. Its totient is φ = 191488.

The previous prime is 385811. The next prime is 385817. The reversal of 385815 is 518583.

385815 = T₄₅ + T₄₆ + ... + T₁₃₃.

It is a happy number.

It is not a de Polignac number, because 385815 - 2² = 385811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385811) 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 23 ways as a sum of consecutive naturals, for example, 4291 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (27630).

2³⁸⁵⁸¹⁵ is an apocalyptic number.

385815 is a deficient number, since it is larger than the sum of its proper divisors (277305).

385815 is a wasteful number, since it uses less digits than its factorization.

385815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 385815 is about 621.1400808191. The cubic root of 385815 is about 72.7991602165.

The spelling of 385815 in words is "three hundred eighty-five thousand, eight hundred fifteen".