506085 has 8 divisors (see below), whose sum is σ = 809760. Its totient is φ = 269904.

The previous prime is 506083. The next prime is 506101. The reversal of 506085 is 580605.

506085 is digitally balanced in base 7, 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 506085 - 2¹ = 506083 is a prime.

It is a super-2 number, since 2×506085² = 512244054450, which contains 22 as substring.

506085 is strictly pandigital in base 7.

It is a Curzon 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 506085.

It is not an unprimeable number, because it can be changed into a prime (506083) 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, 16855 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (101220).

2⁵⁰⁶⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

506085 is a deficient number, since it is larger than the sum of its proper divisors (303675).

506085 is a wasteful number, since it uses less digits than its factorization.

506085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33747.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 506085 is about 711.3965139077. The cubic root of 506085 is about 79.6907330484.

The spelling of 506085 in words is "five hundred six thousand, eighty-five".