506805 has 32 divisors (see below), whose sum is σ = 919296. Its totient is φ = 236544.

The previous prime is 506797. The next prime is 506809. The reversal of 506805 is 508605.

506805 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 506805 - 2³ = 506797 is a prime.

506805 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4429 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁵⁰⁶⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

506805 is a deficient number, since it is larger than the sum of its proper divisors (412491).

506805 is a wasteful number, since it uses less digits than its factorization.

506805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

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

The square root of 506805 is about 711.9023809484. The cubic root of 506805 is about 79.7285067684.

The spelling of 506805 in words is "five hundred six thousand, eight hundred five".