205812033 has 16 divisors (see below), whose sum is σ = 314735616. Its totient is φ = 117187920.

The previous prime is 205811999. The next prime is 205812049. The reversal of 205812033 is 330218502.

It is not a de Polignac number, because 205812033 - 2⁸ = 205811777 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205811994 and 205812012.

It is not an unprimeable number, because it can be changed into a prime (205812053) 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, 11373 + ... + 23258.

It is an arithmetic number, because the mean of its divisors is an integer number (19670976).

Almost surely, 2^205812033 is an apocalyptic number.

It is an amenable number.

205812033 is a deficient number, since it is larger than the sum of its proper divisors (108923583).

205812033 is a wasteful number, since it uses less digits than its factorization.

205812033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34924.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205812033 is about 14346.1504592696. The cubic root of 205812033 is about 590.4143723183.

The spelling of 205812033 in words is "two hundred five million, eight hundred twelve thousand, thirty-three".