829697973 has 8 divisors (see below), whose sum is σ = 1191361248. Its totient is φ = 510583344.

The previous prime is 829697941. The next prime is 829697983. The reversal of 829697973 is 379796928.

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

It is not a de Polignac number, because 829697973 - 2⁵ = 829697941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829697933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10637115 + ... + 10637192.

It is an arithmetic number, because the mean of its divisors is an integer number (148920156).

Almost surely, 2^829697973 is an apocalyptic number.

It is an amenable number.

829697973 is a deficient number, since it is larger than the sum of its proper divisors (361663275).

829697973 is a wasteful number, since it uses less digits than its factorization.

829697973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21274323.

The product of its digits is 10287648, while the sum is 60.

The square root of 829697973 is about 28804.4783497289. The cubic root of 829697973 is about 939.6656321700.

The spelling of 829697973 in words is "eight hundred twenty-nine million, six hundred ninety-seven thousand, nine hundred seventy-three".