205993305 has 72 divisors (see below), whose sum is σ = 419844672. Its totient is φ = 93151296.

The previous prime is 205993283. The next prime is 205993321. The reversal of 205993305 is 503399502.

205993305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205993305 - 2⁵ = 205993273 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205993305.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 226662 + ... + 227568.

It is an arithmetic number, because the mean of its divisors is an integer number (5831176).

Almost surely, 2^205993305 is an apocalyptic number.

It is an amenable number.

205993305 is an abundant number, since it is smaller than the sum of its proper divisors (213851367).

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

205993305 is a wasteful number, since it uses less digits than its factorization.

205993305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 205993305 is about 14352.4668611358. The cubic root of 205993305 is about 590.5876601908.

The spelling of 205993305 in words is "two hundred five million, nine hundred ninety-three thousand, three hundred five".