578985 has 32 divisors (see below), whose sum is σ = 1054080. Its totient is φ = 271040.

The previous prime is 578971. The next prime is 578999. The reversal of 578985 is 589875.

578985 = 70² + 71² + ... + 127².

578985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (578971) and next prime (578999).

It is not a de Polignac number, because 578985 - 2⁷ = 578857 is a prime.

Its product of digits (100800) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19951 + ... + 19979.

It is an arithmetic number, because the mean of its divisors is an integer number (32940).

2⁵⁷⁸⁹⁸⁵ is an apocalyptic number.

578985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

578985 is a deficient number, since it is larger than the sum of its proper divisors (475095).

578985 is a wasteful number, since it uses less digits than its factorization.

578985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 578985 is about 760.9106386429. The cubic root of 578985 is about 83.3468333684.

The spelling of 578985 in words is "five hundred seventy-eight thousand, nine hundred eighty-five".