825961892 has 48 divisors (see below), whose sum is σ = 1746877440. Its totient is φ = 334195200.

The previous prime is 825961891. The next prime is 825961907. The reversal of 825961892 is 298169528.

825961892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 825961892.

It is not an unprimeable number, because it can be changed into a prime (825961891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23984 + ... + 47192.

It is an arithmetic number, because the mean of its divisors is an integer number (36393280).

Almost surely, 2^825961892 is an apocalyptic number.

825961892 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 825961892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873438720).

825961892 is an abundant number, since it is smaller than the sum of its proper divisors (920915548).

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

825961892 is a wasteful number, since it uses less digits than its factorization.

825961892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23292 (or 23290 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

The square root of 825961892 is about 28739.5527453021. The cubic root of 825961892 is about 938.2530902198.

The spelling of 825961892 in words is "eight hundred twenty-five million, nine hundred sixty-one thousand, eight hundred ninety-two".