825972108 has 48 divisors (see below), whose sum is σ = 2077328736. Its totient is φ = 253923840.

The previous prime is 825972107. The next prime is 825972131. The reversal of 825972108 is 801279528.

825972108 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 825972108.

It is not an unprimeable number, because it can be changed into a prime (825972107) 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, 332760 + ... + 335232.

It is an arithmetic number, because the mean of its divisors is an integer number (43277682).

Almost surely, 2^825972108 is an apocalyptic number.

It is an amenable number.

825972108 is an abundant number, since it is smaller than the sum of its proper divisors (1251356628).

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

825972108 is a wasteful number, since it uses less digits than its factorization.

825972108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 825972108 is about 28739.7304789032. The cubic root of 825972108 is about 938.2569584991.

The spelling of 825972108 in words is "eight hundred twenty-five million, nine hundred seventy-two thousand, one hundred eight".