205307129 has 2 divisors, whose sum is σ = 205307130. Its totient is φ = 205307128.

The previous prime is 205307099. The next prime is 205307143. The reversal of 205307129 is 921703502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188101225 + 17205904 = 13715^2 + 4148^2 .

It is a cyclic number.

It is not a de Polignac number, because 205307129 - 2¹⁶ = 205241593 is a prime.

It is not a weakly prime, because it can be changed into another prime (205307159) 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, 102653564 + 102653565.

It is an arithmetic number, because the mean of its divisors is an integer number (102653565).

Almost surely, 2^205307129 is an apocalyptic number.

It is an amenable number.

205307129 is a deficient number, since it is larger than the sum of its proper divisors (1).

205307129 is an equidigital number, since it uses as much as digits as its factorization.

205307129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 205307129 is about 14328.5424590221. The cubic root of 205307129 is about 589.9311697930.

The spelling of 205307129 in words is "two hundred five million, three hundred seven thousand, one hundred twenty-nine".