829041252 has 48 divisors (see below), whose sum is σ = 2098492032. Its totient is φ = 253221120.

The previous prime is 829041251. The next prime is 829041259. The reversal of 829041252 is 252140928.

It is not an unprimeable number, because it can be changed into a prime (829041251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1977 + ... + 40767.

It is an arithmetic number, because the mean of its divisors is an integer number (43718584).

Almost surely, 2^829041252 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 829041252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049246016).

829041252 is an abundant number, since it is smaller than the sum of its proper divisors (1269450780).

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

829041252 is a wasteful number, since it uses less digits than its factorization.

829041252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38948 (or 38946 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 829041252 is about 28793.0764594546. The cubic root of 829041252 is about 939.4176459308.

The spelling of 829041252 in words is "eight hundred twenty-nine million, forty-one thousand, two hundred fifty-two".