829191312 has 120 divisors (see below), whose sum is σ = 2509045760. Its totient is φ = 254741760.

The previous prime is 829191299. The next prime is 829191443. The reversal of 829191312 is 213191928.

It is a super-3 number, since 3×829191312³ (a number of 28 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97137 + ... + 105327.

Almost surely, 2^829191312 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 829191312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254522880).

829191312 is an abundant number, since it is smaller than the sum of its proper divisors (1679854448).

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

829191312 is a wasteful number, since it uses less digits than its factorization.

829191312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8252 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 829191312 is about 28795.6821763264. The cubic root of 829191312 is about 939.4743220439.

The spelling of 829191312 in words is "eight hundred twenty-nine million, one hundred ninety-one thousand, three hundred twelve".