506807 has 6 divisors (see below), whose sum is σ = 589608. Its totient is φ = 434364.

The previous prime is 506797. The next prime is 506809. The reversal of 506807 is 708605.

506807 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 506807 - 2⁴ = 506791 is a prime.

It is a Duffinian 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 506807.

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 5 ways as a sum of consecutive naturals, for example, 5123 + ... + 5220.

It is an arithmetic number, because the mean of its divisors is an integer number (98268).

2⁵⁰⁶⁸⁰⁷ is an apocalyptic number.

506807 is a deficient number, since it is larger than the sum of its proper divisors (82801).

506807 is a wasteful number, since it uses less digits than its factorization.

506807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 506807 is about 711.9037856340. The cubic root of 506807 is about 79.7286116456.

The spelling of 506807 in words is "five hundred six thousand, eight hundred seven".