417122129 has 2 divisors, whose sum is σ = 417122130. Its totient is φ = 417122128.

The previous prime is 417122099. The next prime is 417122131. The reversal of 417122129 is 921221714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264550225 + 152571904 = 16265^2 + 12352^2 .

It is a cyclic number.

It is not a de Polignac number, because 417122129 - 2²⁸ = 148686673 is a prime.

Together with 417122131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417122179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208561064 + 208561065.

It is an arithmetic number, because the mean of its divisors is an integer number (208561065).

Almost surely, 2^417122129 is an apocalyptic number.

It is an amenable number.

417122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

417122129 is an equidigital number, since it uses as much as digits as its factorization.

417122129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 417122129 is about 20423.5679791754. The cubic root of 417122129 is about 747.1728401321.

The spelling of 417122129 in words is "four hundred seventeen million, one hundred twenty-two thousand, one hundred twenty-nine".