385305 has 16 divisors (see below), whose sum is σ = 653184. Its totient is φ = 193280.

The previous prime is 385291. The next prime is 385321. The reversal of 385305 is 503583.

It is not a de Polignac number, because 385305 - 2⁴ = 385289 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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, 501 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

2³⁸⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

385305 is a deficient number, since it is larger than the sum of its proper divisors (267879).

385305 is a wasteful number, since it uses less digits than its factorization.

385305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 385305 is about 620.7294096464. The cubic root of 385305 is about 72.7670688920.

Adding to 385305 its reverse (503583), we get a palindrome (888888).

The spelling of 385305 in words is "three hundred eighty-five thousand, three hundred five".