905905 has 32 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 518400.

The previous prime is 905897. The next prime is 905909. The reversal of 905905 is 509509.

It is not a de Polignac number, because 905905 - 2³ = 905897 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4915 + ... + 5095.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2⁹⁰⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

905905 is a deficient number, since it is larger than the sum of its proper divisors (561743).

905905 is a wasteful number, since it uses less digits than its factorization.

905905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 905905 is about 951.7904181068. The cubic root of 905905 is about 96.7596344346.

It can be divided in two parts, 90 and 5905, that added together give a palindrome (5995).

The spelling of 905905 in words is "nine hundred five thousand, nine hundred five".