205205017 has 2 divisors, whose sum is σ = 205205018. Its totient is φ = 205205016.

The previous prime is 205204969. The next prime is 205205023. The reversal of 205205017 is 710502502.

205205017 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., 135047641 + 70157376 = 11621^2 + 8376^2 .

It is a cyclic number.

It is not a de Polignac number, because 205205017 - 2¹¹ = 205202969 is a prime.

It is not a weakly prime, because it can be changed into another prime (205295017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102602508 + 102602509.

It is an arithmetic number, because the mean of its divisors is an integer number (102602509).

Almost surely, 2^205205017 is an apocalyptic number.

It is an amenable number.

205205017 is a deficient number, since it is larger than the sum of its proper divisors (1).

205205017 is an equidigital number, since it uses as much as digits as its factorization.

205205017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 205205017 is about 14324.9787783438. The cubic root of 205205017 is about 589.8333504243.

Adding to 205205017 its reverse (710502502), we get a palindrome (915707519).

The spelling of 205205017 in words is "two hundred five million, two hundred five thousand, seventeen".