825933192 has 128 divisors (see below), whose sum is σ = 2544998400. Its totient is φ = 218073600.

The previous prime is 825933181. The next prime is 825933259. The reversal of 825933192 is 291339528.

825933192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127717 + ... + 134027.

It is an arithmetic number, because the mean of its divisors is an integer number (19882800).

Almost surely, 2^825933192 is an apocalyptic number.

825933192 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825933192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272499200).

825933192 is an abundant number, since it is smaller than the sum of its proper divisors (1719065208).

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

825933192 is a wasteful number, since it uses less digits than its factorization.

825933192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6383 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 825933192 is about 28739.0534290884. The cubic root of 825933192 is about 938.2422228195.

The spelling of 825933192 in words is "eight hundred twenty-five million, nine hundred thirty-three thousand, one hundred ninety-two".