506827 has 4 divisors (see below), whose sum is σ = 508576. Its totient is φ = 505080.

The previous prime is 506809. The next prime is 506837. The reversal of 506827 is 728605.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 728605 = 5 ⋅145721.

It is a cyclic number.

It is not a de Polignac number, because 506827 - 2⁷ = 506699 is a prime.

It is a Duffinian number.

506827 is a lucky number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 506795 and 506804.

It is not an unprimeable number, because it can be changed into a prime (506837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (127144).

2⁵⁰⁶⁸²⁷ is an apocalyptic number.

506827 is a deficient number, since it is larger than the sum of its proper divisors (1749).

506827 is a wasteful number, since it uses less digits than its factorization.

506827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 506827 is about 711.9178323374. The cubic root of 506827 is about 79.7296604020.

The spelling of 506827 in words is "five hundred six thousand, eight hundred twenty-seven".