829366964 has 24 divisors (see below), whose sum is σ = 1556231040. Its totient is φ = 385347456.

The previous prime is 829366961. The next prime is 829366987. The reversal of 829366964 is 469663928.

829366964 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 not an unprimeable number, because it can be changed into a prime (829366961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71822 + ... + 82565.

It is an arithmetic number, because the mean of its divisors is an integer number (64842960).

Almost surely, 2^829366964 is an apocalyptic number.

It is an amenable number.

829366964 is a deficient number, since it is larger than the sum of its proper divisors (726864076).

829366964 is a wasteful number, since it uses less digits than its factorization.

829366964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154487 (or 154485 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 53.

The square root of 829366964 is about 28798.7319859747. The cubic root of 829366964 is about 939.5406553055.

It can be divided in two parts, 8293 and 66964, that added together give a palindrome (75257).

The spelling of 829366964 in words is "eight hundred twenty-nine million, three hundred sixty-six thousand, nine hundred sixty-four".