205664033 has 2 divisors, whose sum is σ = 205664034. Its totient is φ = 205664032.

The previous prime is 205663987. The next prime is 205664047. The reversal of 205664033 is 330466502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166074769 + 39589264 = 12887^2 + 6292^2 .

It is a cyclic number.

It is not a de Polignac number, because 205664033 - 2²² = 201469729 is a prime.

It is a Chen prime.

It is equal to p_11375084 and since 205664033 and 11375084 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 205663987 and 205664005.

It is not a weakly prime, because it can be changed into another prime (205664083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102832016 + 102832017.

It is an arithmetic number, because the mean of its divisors is an integer number (102832017).

Almost surely, 2^205664033 is an apocalyptic number.

It is an amenable number.

205664033 is a deficient number, since it is larger than the sum of its proper divisors (1).

205664033 is an equidigital number, since it uses as much as digits as its factorization.

205664033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 205664033 is about 14340.9913534595. The cubic root of 205664033 is about 590.2728155143.

The spelling of 205664033 in words is "two hundred five million, six hundred sixty-four thousand, thirty-three".