205535 has 16 divisors (see below), whose sum is σ = 279072. Its totient is φ = 144000.

The previous prime is 205529. The next prime is 205537. The reversal of 205535 is 535502.

It is not a de Polignac number, because 205535 - 2⁴ = 205519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205537) 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 15 ways as a sum of consecutive naturals, for example, 1985 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (17442).

2²⁰⁵⁵³⁵ is an apocalyptic number.

205535 is a deficient number, since it is larger than the sum of its proper divisors (73537).

205535 is a wasteful number, since it uses less digits than its factorization.

205535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 205535 is about 453.3596806069. The cubic root of 205535 is about 59.0149344555.

It can be divided in two parts, 20 and 5535, that added together give a palindrome (5555).

The spelling of 205535 in words is "two hundred five thousand, five hundred thirty-five".