205393305 has 24 divisors (see below), whose sum is σ = 355857408. Its totient is φ = 101115456.

The previous prime is 205393291. The next prime is 205393319. The reversal of 205393305 is 503393502.

205393305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205393291) and next prime (205393319).

It is not a de Polignac number, because 205393305 - 2¹⁰ = 205392281 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37977 + ... + 43046.

It is an arithmetic number, because the mean of its divisors is an integer number (14827392).

Almost surely, 2^205393305 is an apocalyptic number.

It is an amenable number.

205393305 is a deficient number, since it is larger than the sum of its proper divisors (150464103).

205393305 is a wasteful number, since it uses less digits than its factorization.

205393305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81057 (or 81044 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

The square root of 205393305 is about 14331.5492881963. The cubic root of 205393305 is about 590.0136978530.

The spelling of 205393305 in words is "two hundred five million, three hundred ninety-three thousand, three hundred five".