829104853 has 2 divisors, whose sum is σ = 829104854. Its totient is φ = 829104852.

The previous prime is 829104823. The next prime is 829104869. The reversal of 829104853 is 358401928.

829104853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672779844 + 156325009 = 25938^2 + 12503^2 .

It is a cyclic number.

It is not a de Polignac number, because 829104853 - 2⁵ = 829104821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829104803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414552426 + 414552427.

It is an arithmetic number, because the mean of its divisors is an integer number (414552427).

Almost surely, 2^829104853 is an apocalyptic number.

It is an amenable number.

829104853 is a deficient number, since it is larger than the sum of its proper divisors (1).

829104853 is an equidigital number, since it uses as much as digits as its factorization.

829104853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 829104853 is about 28794.1808878113. The cubic root of 829104853 is about 939.4416682070.

The spelling of 829104853 in words is "eight hundred twenty-nine million, one hundred four thousand, eight hundred fifty-three".