829805197293 has 12 divisors (see below), whose sum is σ = 1269113831388. Its totient is φ = 520662084480.

The previous prime is 829805197279. The next prime is 829805197313. The reversal of 829805197293 is 392791508928.

829805197293 is a `hidden beast` number, since 8 + 2 + 98 + 0 + 519 + 7 + 29 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 568482824484 + 261322372809 = 753978^2 + 511197^2 .

It is not a de Polignac number, because 829805197293 - 2⁸ = 829805197037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829805197293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829805197493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2711781538 + ... + 2711781843.

It is an arithmetic number, because the mean of its divisors is an integer number (105759485949).

Almost surely, 2^829805197293 is an apocalyptic number.

It is an amenable number.

829805197293 is a deficient number, since it is larger than the sum of its proper divisors (439308634095).

829805197293 is a wasteful number, since it uses less digits than its factorization.

829805197293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423563404 (or 5423563401 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 829805197293 in words is "eight hundred twenty-nine billion, eight hundred five million, one hundred ninety-seven thousand, two hundred ninety-three".