205966500 has 96 divisors (see below), whose sum is σ = 609877632. Its totient is φ = 54000000.

The previous prime is 205966489. The next prime is 205966571. The reversal of 205966500 is 5669502.

205966500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90375 + ... + 92625.

It is an arithmetic number, because the mean of its divisors is an integer number (6352892).

Almost surely, 2^205966500 is an apocalyptic number.

205966500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205966500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304938816).

205966500 is an abundant number, since it is smaller than the sum of its proper divisors (403911132).

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

205966500 is a wasteful number, since it uses less digits than its factorization.

205966500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 205966500 is about 14351.5330191586. The cubic root of 205966500 is about 590.5620422240.

The spelling of 205966500 in words is "two hundred five million, nine hundred sixty-six thousand, five hundred".