829572993 has 12 divisors (see below), whose sum is σ = 1250371200. Its totient is φ = 529002936.

The previous prime is 829572979. The next prime is 829573007. The reversal of 829572993 is 399275928.

It is an interprime number because it is at equal distance from previous prime (829572979) and next prime (829573007).

It is not a de Polignac number, because 829572993 - 2⁹ = 829572481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829572943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2003593 + ... + 2004006.

It is an arithmetic number, because the mean of its divisors is an integer number (104197600).

Almost surely, 2^829572993 is an apocalyptic number.

It is an amenable number.

829572993 is a deficient number, since it is larger than the sum of its proper divisors (420798207).

829572993 is a wasteful number, since it uses less digits than its factorization.

829572993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007628 (or 4007625 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 829572993 is about 28802.3088137045. The cubic root of 829572993 is about 939.6184482100.

The spelling of 829572993 in words is "eight hundred twenty-nine million, five hundred seventy-two thousand, nine hundred ninety-three".