205236641 has 2 divisors, whose sum is σ = 205236642. Its totient is φ = 205236640.

The previous prime is 205236637. The next prime is 205236643. The reversal of 205236641 is 146632502.

205236641 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., 120670225 + 84566416 = 10985^2 + 9196^2 .

It is a cyclic number.

It is not a de Polignac number, because 205236641 - 2² = 205236637 is a prime.

Together with 205236643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205236643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102618320 + 102618321.

It is an arithmetic number, because the mean of its divisors is an integer number (102618321).

Almost surely, 2^205236641 is an apocalyptic number.

It is an amenable number.

205236641 is a deficient number, since it is larger than the sum of its proper divisors (1).

205236641 is an equidigital number, since it uses as much as digits as its factorization.

205236641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 205236641 is about 14326.0825419931. The cubic root of 205236641 is about 589.8636484680.

The spelling of 205236641 in words is "two hundred five million, two hundred thirty-six thousand, six hundred forty-one".