825972106 has 8 divisors (see below), whose sum is σ = 1239090624. Its totient is φ = 412941900.

The previous prime is 825972089. The next prime is 825972107. The reversal of 825972106 is 601279528.

825972106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

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 3 ways as a sum of consecutive naturals, for example, 11551 + ... + 42253.

It is an arithmetic number, because the mean of its divisors is an integer number (154886328).

Almost surely, 2^825972106 is an apocalyptic number.

825972106 is a deficient number, since it is larger than the sum of its proper divisors (413118518).

825972106 is a wasteful number, since it uses less digits than its factorization.

825972106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44156.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 825972106 is about 28739.7304441082. The cubic root of 825972106 is about 938.2569577419.

The spelling of 825972106 in words is "eight hundred twenty-five million, nine hundred seventy-two thousand, one hundred six".