205832 has 16 divisors (see below), whose sum is σ = 421200. Its totient is φ = 93520.

The previous prime is 205823. The next prime is 205837. The reversal of 205832 is 238502.

It is not an unprimeable number, because it can be changed into a prime (205837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1082 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2²⁰⁵⁸³² is an apocalyptic number.

205832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205832 is an abundant number, since it is smaller than the sum of its proper divisors (215368).

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

205832 is a wasteful number, since it uses less digits than its factorization.

205832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205832 is about 453.6871168548. The cubic root of 205832 is about 59.0433464857.

It can be divided in two parts, 2058 and 32, that multiplied together give a palindrome (65856).

The spelling of 205832 in words is "two hundred five thousand, eight hundred thirty-two".