829173312 has 126 divisors (see below), whose sum is σ = 2612598534. Its totient is φ = 251243520.

The previous prime is 829173311. The next prime is 829173329. The reversal of 829173312 is 213371928.

It can be written as a sum of positive squares in only one way, i.e., 828058176 + 1115136 = 28776^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (829173311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63748 + ... + 75644.

It is an arithmetic number, because the mean of its divisors is an integer number (20734909).

Almost surely, 2^829173312 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 829173312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306299267).

829173312 is an abundant number, since it is smaller than the sum of its proper divisors (1783425222).

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

829173312 is a wasteful number, since it uses less digits than its factorization.

829173312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11913 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 829173312 is about 28795.3696277718. The cubic root of 829173312 is about 939.4675239906.

The spelling of 829173312 in words is "eight hundred twenty-nine million, one hundred seventy-three thousand, three hundred twelve".