505905 has 16 divisors (see below), whose sum is σ = 838080. Its totient is φ = 260288.

The previous prime is 505877. The next prime is 505907. The reversal of 505905 is 509505.

It is a cyclic number.

It is not a de Polignac number, because 505905 - 2⁷ = 505777 is a prime.

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 505905.

It is not an unprimeable number, because it can be changed into a prime (505907) 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, 147 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (52380).

2⁵⁰⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

505905 is a deficient number, since it is larger than the sum of its proper divisors (332175).

505905 is a wasteful number, since it uses less digits than its factorization.

505905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 505905 is about 711.2699909317. The cubic root of 505905 is about 79.6812840211.

Subtracting 505905 from its reverse (509505), we obtain a square (3600 = 60²).

The spelling of 505905 in words is "five hundred five thousand, nine hundred five".