829991052 has 72 divisors (see below), whose sum is σ = 2295401472. Its totient is φ = 250783200.

The previous prime is 829991047. The next prime is 829991069. The reversal of 829991052 is 250199928.

It is a junction number, because it is equal to n+sod(n) for n = 829990989 and 829991007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142477 + ... + 148187.

It is an arithmetic number, because the mean of its divisors is an integer number (31880576).

Almost surely, 2^829991052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829991052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147700736).

829991052 is an abundant number, since it is smaller than the sum of its proper divisors (1465410420).

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

829991052 is a wasteful number, since it uses less digits than its factorization.

829991052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 829991052 is about 28809.5652865502. The cubic root of 829991052 is about 939.7762603152.

The spelling of 829991052 in words is "eight hundred twenty-nine million, nine hundred ninety-one thousand, fifty-two".