205045117 has 2 divisors, whose sum is σ = 205045118. Its totient is φ = 205045116.

The previous prime is 205045091. The next prime is 205045123. The reversal of 205045117 is 711540502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149303961 + 55741156 = 12219^2 + 7466^2 .

It is a cyclic number.

It is not a de Polignac number, because 205045117 - 2⁷ = 205044989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205045091 and 205045100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205045417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102522558 + 102522559.

It is an arithmetic number, because the mean of its divisors is an integer number (102522559).

Almost surely, 2^205045117 is an apocalyptic number.

It is an amenable number.

205045117 is a deficient number, since it is larger than the sum of its proper divisors (1).

205045117 is an equidigital number, since it uses as much as digits as its factorization.

205045117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 205045117 is about 14319.3965305805. The cubic root of 205045117 is about 589.6801071590.

Adding to 205045117 its reverse (711540502), we get a palindrome (916585619).

The spelling of 205045117 in words is "two hundred five million, forty-five thousand, one hundred seventeen".