829834437969 has 12 divisors (see below), whose sum is σ = 1203794166276. Its totient is φ = 550848609792.

The previous prime is 829834437881. The next prime is 829834437977. The reversal of 829834437969 is 969734438928.

829834437969 is a `hidden beast` number, since 8 + 2 + 98 + 3 + 443 + 7 + 96 + 9 = 666.

829834437969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134758739025 + 695075698944 = 367095^2 + 833712^2 .

It is not a de Polignac number, because 829834437969 - 2²¹ = 829832340817 is a prime.

It is a super-2 number, since 2×829834437969² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 829834437897 and 829834437906.

It is not an unprimeable number, because it can be changed into a prime (829834037969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197860192 + ... + 197864385.

It is an arithmetic number, because the mean of its divisors is an integer number (100316180523).

Almost surely, 2^829834437969 is an apocalyptic number.

It is an amenable number.

829834437969 is a deficient number, since it is larger than the sum of its proper divisors (373959728307).

829834437969 is a wasteful number, since it uses less digits than its factorization.

829834437969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395724816 (or 395724813 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 829834437969 in words is "eight hundred twenty-nine billion, eight hundred thirty-four million, four hundred thirty-seven thousand, nine hundred sixty-nine".