506727 has 24 divisors (see below), whose sum is σ = 812448. Its totient is φ = 302400.

The previous prime is 506699. The next prime is 506729. The reversal of 506727 is 727605.

It is not a de Polignac number, because 506727 - 2⁶ = 506663 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 506727.

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 506727.

It is not an unprimeable number, because it can be changed into a prime (506729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7102 + ... + 7172.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁵⁰⁶⁷²⁷ is an apocalyptic number.

506727 is a deficient number, since it is larger than the sum of its proper divisors (305721).

506727 is a wasteful number, since it uses less digits than its factorization.

506727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 506727 is about 711.8475960485. The cubic root of 506727 is about 79.7244163440.

The spelling of 506727 in words is "five hundred six thousand, seven hundred twenty-seven".