505827 has 36 divisors (see below), whose sum is σ = 901056. Its totient is φ = 272160.

The previous prime is 505823. The next prime is 505867. The reversal of 505827 is 728505.

It is a happy number.

It is not a de Polignac number, because 505827 - 2² = 505823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505827.

It is not an unprimeable number, because it can be changed into a prime (505823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13653 + ... + 13689.

2⁵⁰⁵⁸²⁷ is an apocalyptic number.

505827 is a deficient number, since it is larger than the sum of its proper divisors (395229).

505827 is a wasteful number, since it uses less digits than its factorization.

505827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 505827 is about 711.2151573188. The cubic root of 505827 is about 79.6771887466.

The spelling of 505827 in words is "five hundred five thousand, eight hundred twenty-seven".