905535 has 12 divisors (see below), whose sum is σ = 1569672. Its totient is φ = 482928.

The previous prime is 905507. The next prime is 905551. The reversal of 905535 is 535509.

It is not a de Polignac number, because 905535 - 2¹⁰ = 904511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 905499 and 905508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10017 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (130806).

2⁹⁰⁵⁵³⁵ is an apocalyptic number.

905535 is a deficient number, since it is larger than the sum of its proper divisors (664137).

905535 is a wasteful number, since it uses less digits than its factorization.

905535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134 (or 20131 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 905535 is about 951.5960277345. The cubic root of 905535 is about 96.7464594181.

It can be divided in two parts, 90 and 5535, that added together give a square (5625 = 75²).

The spelling of 905535 in words is "nine hundred five thousand, five hundred thirty-five".