829294564 has 12 divisors (see below), whose sum is σ = 1658589184. Its totient is φ = 355411944.

The previous prime is 829294553. The next prime is 829294597. The reversal of 829294564 is 465492928.

829294564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

829294564 is an admirable number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14808804 + ... + 14808859.

Almost surely, 2^829294564 is an apocalyptic number.

It is an amenable number.

829294564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

829294564 is a wasteful number, since it uses less digits than its factorization.

829294564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29617674 (or 29617672 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The square root of 829294564 is about 28797.4749587529. The cubic root of 829294564 is about 939.5133152876.

The spelling of 829294564 in words is "eight hundred twenty-nine million, two hundred ninety-four thousand, five hundred sixty-four".