205992 has 24 divisors (see below), whose sum is σ = 558090. Its totient is φ = 68640.

The previous prime is 205991. The next prime is 205993. The reversal of 205992 is 299502.

It is an interprime number because it is at equal distance from previous prime (205991) and next prime (205993).

It can be written as a sum of positive squares in only one way, i.e., 171396 + 34596 = 414^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205992.

It is not an unprimeable number, because it can be changed into a prime (205991) 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 5 ways as a sum of consecutive naturals, for example, 1359 + ... + 1502.

2²⁰⁵⁹⁹² is an apocalyptic number.

It is an amenable number.

205992 is an abundant number, since it is smaller than the sum of its proper divisors (352098).

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

205992 is a wasteful number, since it uses less digits than its factorization.

205992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 205992 is about 453.8634155779. The cubic root of 205992 is about 59.0586413033.

The spelling of 205992 in words is "two hundred five thousand, nine hundred ninety-two".