205616129 has 2 divisors, whose sum is σ = 205616130. Its totient is φ = 205616128.

The previous prime is 205616093. The next prime is 205616143. The reversal of 205616129 is 921616502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205492225 + 123904 = 14335^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 205616129 - 2⁸ = 205615873 is a prime.

It is a Chen prime.

It is equal to p_11372657 and since 205616129 and 11372657 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 = 205616095 and 205616104.

It is not a weakly prime, because it can be changed into another prime (205616329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102808064 + 102808065.

It is an arithmetic number, because the mean of its divisors is an integer number (102808065).

Almost surely, 2^205616129 is an apocalyptic number.

It is an amenable number.

205616129 is a deficient number, since it is larger than the sum of its proper divisors (1).

205616129 is an equidigital number, since it uses as much as digits as its factorization.

205616129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 205616129 is about 14339.3210787680. The cubic root of 205616129 is about 590.2269824725.

The spelling of 205616129 in words is "two hundred five million, six hundred sixteen thousand, one hundred twenty-nine".