829312 has 64 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 345600.

The previous prime is 829289. The next prime is 829319. The reversal of 829312 is 213928.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26737 + ... + 26767.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2⁸²⁹³¹² 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 829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

829312 is an abundant number, since it is smaller than the sum of its proper divisors (1129088).

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

829312 is a wasteful number, since it uses less digits than its factorization.

829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 829312 is about 910.6656905802. The cubic root of 829312 is about 93.9519899695.

The spelling of 829312 in words is "eight hundred twenty-nine thousand, three hundred twelve".