205885049 has 2 divisors, whose sum is σ = 205885050. Its totient is φ = 205885048.

The previous prime is 205885033. The next prime is 205885061. The reversal of 205885049 is 940588502.

205885049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205062400 + 822649 = 14320^2 + 907^2 .

It is a cyclic number.

It is not a de Polignac number, because 205885049 - 2⁴ = 205885033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205884997 and 205885015.

It is not a weakly prime, because it can be changed into another prime (201885049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102942524 + 102942525.

It is an arithmetic number, because the mean of its divisors is an integer number (102942525).

Almost surely, 2^205885049 is an apocalyptic number.

It is an amenable number.

205885049 is a deficient number, since it is larger than the sum of its proper divisors (1).

205885049 is an equidigital number, since it uses as much as digits as its factorization.

205885049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 205885049 is about 14348.6950277717. The cubic root of 205885049 is about 590.4841845610.

The spelling of 205885049 in words is "two hundred five million, eight hundred eighty-five thousand, forty-nine".