205242 has 16 divisors (see below), whose sum is σ = 416640. Its totient is φ = 67392.

The previous prime is 205237. The next prime is 205253. The reversal of 205242 is 242502.

205242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2²⁰⁵²⁴² is an apocalyptic number.

205242 is an abundant number, since it is smaller than the sum of its proper divisors (211398).

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

205242 is a wasteful number, since it uses less digits than its factorization.

205242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 205242 is about 453.0364223768. The cubic root of 205242 is about 58.9868782463.

Adding to 205242 its reverse (242502), we get a palindrome (447744).

The spelling of 205242 in words is "two hundred five thousand, two hundred forty-two".