829412417 has 2 divisors, whose sum is σ = 829412418. Its totient is φ = 829412416.

The previous prime is 829412401. The next prime is 829412447. The reversal of 829412417 is 714214928.

It is a happy number.

829412417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425844496 + 403567921 = 20636^2 + 20089^2 .

It is a cyclic number.

It is not a de Polignac number, because 829412417 - 2⁴ = 829412401 is a prime.

It is not a weakly prime, because it can be changed into another prime (829412447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414706208 + 414706209.

It is an arithmetic number, because the mean of its divisors is an integer number (414706209).

Almost surely, 2^829412417 is an apocalyptic number.

It is an amenable number.

829412417 is a deficient number, since it is larger than the sum of its proper divisors (1).

829412417 is an equidigital number, since it uses as much as digits as its factorization.

829412417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 38.

The square root of 829412417 is about 28799.5211244909. The cubic root of 829412417 is about 939.5578186615.

It can be divided in two parts, 82941 and 2417, that added together give a palindrome (85358).

The spelling of 829412417 in words is "eight hundred twenty-nine million, four hundred twelve thousand, four hundred seventeen".