205532 has 6 divisors (see below), whose sum is σ = 359688. Its totient is φ = 102764.

The previous prime is 205529. The next prime is 205537. The reversal of 205532 is 235502.

205532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205532³ = 26047113330986304, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205532.

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 polite number, since it can be written as a sum of consecutive naturals, namely, 25688 + ... + 25695.

It is an arithmetic number, because the mean of its divisors is an integer number (59948).

2²⁰⁵⁵³² is an apocalyptic number.

It is an amenable number.

205532 is a deficient number, since it is larger than the sum of its proper divisors (154156).

205532 is a wasteful number, since it uses less digits than its factorization.

205532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51387 (or 51385 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 205532 is about 453.3563719636. The cubic root of 205532 is about 59.0146473257.

It can be divided in two parts, 205 and 532, that added together give a palindrome (737).

The spelling of 205532 in words is "two hundred five thousand, five hundred thirty-two".