429717634121 has 2 divisors, whose sum is σ = 429717634122. Its totient is φ = 429717634120.

The previous prime is 429717634067. The next prime is 429717634139. The reversal of 429717634121 is 121436717924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414657435721 + 15060198400 = 643939^2 + 122720^2 .

It is a cyclic number.

It is not a de Polignac number, because 429717634121 - 2²⁶ = 429650525257 is a prime.

It is a super-3 number, since 3×429717634121³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (429717634321) 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, 214858817060 + 214858817061.

It is an arithmetic number, because the mean of its divisors is an integer number (214858817061).

Almost surely, 2^429717634121 is an apocalyptic number.

It is an amenable number.

429717634121 is a deficient number, since it is larger than the sum of its proper divisors (1).

429717634121 is an equidigital number, since it uses as much as digits as its factorization.

429717634121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The spelling of 429717634121 in words is "four hundred twenty-nine billion, seven hundred seventeen million, six hundred thirty-four thousand, one hundred twenty-one".