205942 has 24 divisors (see below), whose sum is σ = 363888. Its totient is φ = 87120.

The previous prime is 205937. The next prime is 205949. The reversal of 205942 is 249502.

It is a happy number.

205942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5548 + ... + 5584.

It is an arithmetic number, because the mean of its divisors is an integer number (15162).

2²⁰⁵⁹⁴² is an apocalyptic number.

205942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205942 is a deficient number, since it is larger than the sum of its proper divisors (157946).

205942 is a wasteful number, since it uses less digits than its factorization.

205942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 205942 is about 453.8083295842. The cubic root of 205942 is about 59.0538625238.

The spelling of 205942 in words is "two hundred five thousand, nine hundred forty-two".