578385 has 12 divisors (see below), whose sum is σ = 1002612. Its totient is φ = 308448.

The previous prime is 578371. The next prime is 578399. The reversal of 578385 is 583875.

It is a happy number.

578385 is a `hidden beast` number, since 578 + 3 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (578371) and next prime (578399).

It can be written as a sum of positive squares in 2 ways, for example, as 173889 + 404496 = 417^2 + 636^2 .

It is not a de Polignac number, because 578385 - 2⁵ = 578353 is a prime.

578385 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6382 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (83551).

2⁵⁷⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

578385 is a deficient number, since it is larger than the sum of its proper divisors (424227).

578385 is a wasteful number, since it uses less digits than its factorization.

578385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12861 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 578385 is about 760.5162720153. The cubic root of 578385 is about 83.3180327464.

The spelling of 578385 in words is "five hundred seventy-eight thousand, three hundred eighty-five".