205042 has 8 divisors (see below), whose sum is σ = 309996. Its totient is φ = 101712.

The previous prime is 205033. The next prime is 205043. The reversal of 205042 is 240502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 192721 + 12321 = 439^2 + 111^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (205043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 640.

2²⁰⁵⁰⁴² is an apocalyptic number.

205042 is a deficient number, since it is larger than the sum of its proper divisors (104954).

205042 is a wasteful number, since it uses less digits than its factorization.

205042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812.

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 205042 is about 452.8156357724. The cubic root of 205042 is about 58.9677119130.

Adding to 205042 its reverse (240502), we get a palindrome (445544).

The spelling of 205042 in words is "two hundred five thousand, forty-two".