205982 has 8 divisors (see below), whose sum is σ = 353136. Its totient is φ = 88272.

The previous prime is 205981. The next prime is 205991. The reversal of 205982 is 289502.

205982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205981) 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, 7343 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (44142).

2²⁰⁵⁹⁸² is an apocalyptic number.

205982 is a deficient number, since it is larger than the sum of its proper divisors (147154).

205982 is a wasteful number, since it uses less digits than its factorization.

205982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14722.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 205982 is about 453.8523989140. The cubic root of 205982 is about 59.0576856093.

The spelling of 205982 in words is "two hundred five thousand, nine hundred eighty-two".