80085 has 16 divisors (see below), whose sum is σ = 135360. Its totient is φ = 40320.

The previous prime is 80077. The next prime is 80107. The reversal of 80085 is 58008.

80085 = 58² + 59² + ... + 75².

It is not a de Polignac number, because 80085 - 2³ = 80077 is a prime.

It is a congruent 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, 145 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

2⁸⁰⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

80085 is a deficient number, since it is larger than the sum of its proper divisors (55275).

80085 is a wasteful number, since it uses less digits than its factorization.

80085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 80085 is about 282.9929327739. The cubic root of 80085 is about 43.1039489781.

The spelling of 80085 in words is "eighty thousand, eighty-five".