829811952 has 70 divisors (see below), whose sum is σ = 2410572152. Its totient is φ = 276600096.

The previous prime is 829811933. The next prime is 829811989. The reversal of 829811952 is 259118928.

It is a junction number, because it is equal to n+sod(n) for n = 829811898 and 829811907.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 23908 + ... + 47235.

Almost surely, 2^829811952 is an apocalyptic number.

It is an amenable number.

829811952 is an abundant number, since it is smaller than the sum of its proper divisors (1580760200).

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

829811952 is an equidigital number, since it uses as much as digits as its factorization.

829811952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71169 (or 71148 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 829811952 is about 28806.4567762160. The cubic root of 829811952 is about 939.7086587687.

The spelling of 829811952 in words is "eight hundred twenty-nine million, eight hundred eleven thousand, nine hundred fifty-two".