829605993275 has 12 divisors (see below), whose sum is σ = 1028802650184. Its totient is φ = 663625944000.

The previous prime is 829605993269. The next prime is 829605993313. The reversal of 829605993275 is 572399506928.

It is not a de Polignac number, because 829605993275 - 2⁴ = 829605993259 is a prime.

It is a super-3 number, since 3×829605993275³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182581 + ... + 1748630.

It is an arithmetic number, because the mean of its divisors is an integer number (85733554182).

Almost surely, 2^829605993275 is an apocalyptic number.

829605993275 is a deficient number, since it is larger than the sum of its proper divisors (199196656909).

829605993275 is a wasteful number, since it uses less digits than its factorization.

829605993275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942542 (or 2942537 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 65.

The spelling of 829605993275 in words is "eight hundred twenty-nine billion, six hundred five million, nine hundred ninety-three thousand, two hundred seventy-five".