205032 has 16 divisors (see below), whose sum is σ = 512640. Its totient is φ = 68336.

The previous prime is 205031. The next prime is 205033. The reversal of 205032 is 230502.

It is an interprime number because it is at equal distance from previous prime (205031) and next prime (205033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 204999 and 205017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205032.

It is not an unprimeable number, because it can be changed into a prime (205031) by changing a digit.

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, 4248 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (32040).

2²⁰⁵⁰³² is an apocalyptic number.

It is an amenable number.

205032 is an abundant number, since it is smaller than the sum of its proper divisors (307608).

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

205032 is a wasteful number, since it uses less digits than its factorization.

205032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 205032 is about 452.8045936163. The cubic root of 205032 is about 58.9667532692.

Adding to 205032 its reverse (230502), we get a palindrome (435534).

The spelling of 205032 in words is "two hundred five thousand, thirty-two".