205332 has 24 divisors (see below), whose sum is σ = 487872. Its totient is φ = 67200.

The previous prime is 205327. The next prime is 205339. The reversal of 205332 is 233502.

It is a super-2 number, since 2×205332² = 84322460448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205339) by changing a digit.

205332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2²⁰⁵³³² is an apocalyptic number.

It is an amenable number.

205332 is an abundant number, since it is smaller than the sum of its proper divisors (282540).

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

205332 is a wasteful number, since it uses less digits than its factorization.

205332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 205332 is about 453.1357412520. The cubic root of 205332 is about 58.9954990342.

Adding to 205332 its reverse (233502), we get a palindrome (438834).

The spelling of 205332 in words is "two hundred five thousand, three hundred thirty-two".