829282302 has 48 divisors (see below), whose sum is σ = 1863194112. Its totient is φ = 266291280.

The previous prime is 829282301. The next prime is 829282313. The reversal of 829282302 is 203282928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829282301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123393 + ... + 129939.

It is an arithmetic number, because the mean of its divisors is an integer number (38816544).

Almost surely, 2^829282302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829282302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931597056).

829282302 is an abundant number, since it is smaller than the sum of its proper divisors (1033911810).

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

829282302 is a wasteful number, since it uses less digits than its factorization.

829282302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 829282302 is about 28797.2620573554. The cubic root of 829282302 is about 939.5086846977.

The spelling of 829282302 in words is "eight hundred twenty-nine million, two hundred eighty-two thousand, three hundred two".