205998 has 32 divisors (see below), whose sum is σ = 470400. Its totient is φ = 59616.

The previous prime is 205993. The next prime is 206009. The reversal of 205998 is 899502.

205998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁰⁵⁹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

205998 is an abundant number, since it is smaller than the sum of its proper divisors (264402).

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

205998 is a wasteful number, since it uses less digits than its factorization.

205998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 205998 is about 453.8700254478. The cubic root of 205998 is about 59.0592147049.

The spelling of 205998 in words is "two hundred five thousand, nine hundred ninety-eight".