829072974 has 16 divisors (see below), whose sum is σ = 1665389520. Its totient is φ = 275150400.

The previous prime is 829072963. The next prime is 829072991. The reversal of 829072974 is 479270928.

829072974 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300327 + ... + 303074.

It is an arithmetic number, because the mean of its divisors is an integer number (104086845).

Almost surely, 2^829072974 is an apocalyptic number.

829072974 is an abundant number, since it is smaller than the sum of its proper divisors (836316546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829072974 is a wasteful number, since it uses less digits than its factorization.

829072974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603635.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 829072974 is about 28793.6273157794. The cubic root of 829072974 is about 939.4296275728.

The spelling of 829072974 in words is "eight hundred twenty-nine million, seventy-two thousand, nine hundred seventy-four".