205414129 has 2 divisors, whose sum is σ = 205414130. Its totient is φ = 205414128.

The previous prime is 205414109. The next prime is 205414151. The reversal of 205414129 is 921414502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 1495729 = 14280^2 + 1223^2 .

It is a cyclic number.

It is not a de Polignac number, because 205414129 - 2¹⁵ = 205381361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205414097 and 205414106.

It is not a weakly prime, because it can be changed into another prime (205414109) 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, 102707064 + 102707065.

It is an arithmetic number, because the mean of its divisors is an integer number (102707065).

Almost surely, 2^205414129 is an apocalyptic number.

It is an amenable number.

205414129 is a deficient number, since it is larger than the sum of its proper divisors (1).

205414129 is an equidigital number, since it uses as much as digits as its factorization.

205414129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 205414129 is about 14332.2757788148. The cubic root of 205414129 is about 590.0336368834.

The spelling of 205414129 in words is "two hundred five million, four hundred fourteen thousand, one hundred twenty-nine".