809385 has 8 divisors (see below), whose sum is σ = 1295040. Its totient is φ = 431664.

The previous prime is 809383. The next prime is 809399. The reversal of 809385 is 583908.

809385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 809385 - 2¹ = 809383 is a prime.

809385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (809383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26965 + ... + 26994.

It is an arithmetic number, because the mean of its divisors is an integer number (161880).

2⁸⁰⁹³⁸⁵ is an apocalyptic number.

It is an amenable number.

809385 is a deficient number, since it is larger than the sum of its proper divisors (485655).

809385 is a wasteful number, since it uses less digits than its factorization.

809385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53967.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 809385 is about 899.6582684553. The cubic root of 809385 is about 93.1933772548.

Subtracting from 809385 its product of nonzero digits (8640), we obtain a triangular number (800745 = T₁₂₆₅).

The spelling of 809385 in words is "eight hundred nine thousand, three hundred eighty-five".