205536 has 24 divisors (see below), whose sum is σ = 539784. Its totient is φ = 68480.

The previous prime is 205529. The next prime is 205537. The reversal of 205536 is 635502.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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 205536.

It is not an unprimeable number, because it can be changed into a prime (205537) by changing a digit.

205536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 975 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (22491).

2²⁰⁵⁵³⁶ is an apocalyptic number.

It is an amenable number.

205536 is an abundant number, since it is smaller than the sum of its proper divisors (334248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205536 is a wasteful number, since it uses less digits than its factorization.

205536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 205536 is about 453.3607834826. The cubic root of 205536 is about 59.0150301648.

It can be divided in two parts, 205 and 536, that added together give a triangular number (741 = T₃₈).

The spelling of 205536 in words is "two hundred five thousand, five hundred thirty-six".