825642972 has 144 divisors (see below), whose sum is σ = 2620800000. Its totient is φ = 212906880.

The previous prime is 825642971. The next prime is 825642977. The reversal of 825642972 is 279246528.

825642972 is a `hidden beast` number, since 82 + 564 + 2 + 9 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825642971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412029 + ... + 414027.

It is an arithmetic number, because the mean of its divisors is an integer number (18200000).

Almost surely, 2^825642972 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 825642972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400000).

825642972 is an abundant number, since it is smaller than the sum of its proper divisors (1795157028).

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

825642972 is a wasteful number, since it uses less digits than its factorization.

825642972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2171 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 825642972 is about 28734.0037586132. The cubic root of 825642972 is about 938.1323153998.

The spelling of 825642972 in words is "eight hundred twenty-five million, six hundred forty-two thousand, nine hundred seventy-two".