505791 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 280800.

The previous prime is 505781. The next prime is 505811. The reversal of 505791 is 197505.

It is not a de Polignac number, because 505791 - 2⁵ = 505759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796 + ... + 3926.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁵⁰⁵⁷⁹¹ is an apocalyptic number.

505791 is a deficient number, since it is larger than the sum of its proper divisors (381249).

505791 is a wasteful number, since it uses less digits than its factorization.

505791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 505791 is about 711.1898480715. The cubic root of 505791 is about 79.6752984779.

It can be divided in two parts, 505 and 791, that added together give a 4-th power (1296 = 6⁴).

The spelling of 505791 in words is "five hundred five thousand, seven hundred ninety-one".