205567129 has 2 divisors, whose sum is σ = 205567130. Its totient is φ = 205567128.

The previous prime is 205567097. The next prime is 205567139. The reversal of 205567129 is 921765502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 64432729 = 11880^2 + 8027^2 .

It is a cyclic number.

It is not a de Polignac number, because 205567129 - 2⁵ = 205567097 is a prime.

It is not a weakly prime, because it can be changed into another prime (205567139) 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, 102783564 + 102783565.

It is an arithmetic number, because the mean of its divisors is an integer number (102783565).

Almost surely, 2^205567129 is an apocalyptic number.

It is an amenable number.

205567129 is a deficient number, since it is larger than the sum of its proper divisors (1).

205567129 is an equidigital number, since it uses as much as digits as its factorization.

205567129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 205567129 is about 14337.6123884000. The cubic root of 205567129 is about 590.1800934469.

The spelling of 205567129 in words is "two hundred five million, five hundred sixty-seven thousand, one hundred twenty-nine".