506883 has 16 divisors (see below), whose sum is σ = 747936. Its totient is φ = 303360.

The previous prime is 506873. The next prime is 506887. The reversal of 506883 is 388605.

506883 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 506883 - 2¹² = 502787 is a prime.

506883 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 506883.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506883.

It is not an unprimeable number, because it can be changed into a prime (506887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (46746).

2⁵⁰⁶⁸⁸³ is an apocalyptic number.

506883 is a deficient number, since it is larger than the sum of its proper divisors (241053).

506883 is a wasteful number, since it uses less digits than its factorization.

506883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 506883 is about 711.9571616326. The cubic root of 506883 is about 79.7325967731.

It can be divided in two parts, 5068 and 83, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 506883 in words is "five hundred six thousand, eight hundred eighty-three".