829209282193 has 8 divisors (see below), whose sum is σ = 841013373096. Its totient is φ = 817475664000.

The previous prime is 829209282191. The next prime is 829209282221. The reversal of 829209282193 is 391282902928.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24047635329 + 805161646864 = 155073^2 + 897308^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829209282193 - 2¹ = 829209282191 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829209282191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17594478 + ... + 17641543.

It is an arithmetic number, because the mean of its divisors is an integer number (105126671637).

Almost surely, 2^829209282193 is an apocalyptic number.

It is an amenable number.

829209282193 is a deficient number, since it is larger than the sum of its proper divisors (11804090903).

829209282193 is a wasteful number, since it uses less digits than its factorization.

829209282193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35236355.

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 829209282193 in words is "eight hundred twenty-nine billion, two hundred nine million, two hundred eighty-two thousand, one hundred ninety-three".