512085 has 16 divisors (see below), whose sum is σ = 936576. Its totient is φ = 234048.

The previous prime is 512059. The next prime is 512093. The reversal of 512085 is 580215.

512085 = T₃₇₉ + T₃₈₀ + ... + T₃₈₅.

512085 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 512085 - 2⁶ = 512021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

512085 is strictly pandigital in base 7.

It is a Curzon number.

512085 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512085.

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, 2334 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (58536).

2⁵¹²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

512085 is a deficient number, since it is larger than the sum of its proper divisors (424491).

512085 is a wasteful number, since it uses less digits than its factorization.

512085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 512085 is about 715.6011458906. The cubic root of 512085 is about 80.0044268384.

It can be divided in two parts, 5 and 12085, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 512085 in words is "five hundred twelve thousand, eighty-five".