829857132 has 72 divisors (see below), whose sum is σ = 2264489136. Its totient is φ = 254726784.

The previous prime is 829857103. The next prime is 829857143. The reversal of 829857132 is 231758928.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 216658 + ... + 220454.

It is an arithmetic number, because the mean of its divisors is an integer number (31451238).

Almost surely, 2^829857132 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 829857132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132244568).

829857132 is an abundant number, since it is smaller than the sum of its proper divisors (1434632004).

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

829857132 is a wasteful number, since it uses less digits than its factorization.

829857132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4282 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 829857132 is about 28807.2409647297. The cubic root of 829857132 is about 939.7257129404.

The spelling of 829857132 in words is "eight hundred twenty-nine million, eight hundred fifty-seven thousand, one hundred thirty-two".