971695872 has 432 divisors, whose sum is σ = 3541843200. Its totient is φ = 261273600.

The previous prime is 971695871. The next prime is 971695931. The reversal of 971695872 is 278596179.

971695872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971695871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6434997 + ... + 6435147.

Almost surely, 2^971695872 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 971695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770921600).

971695872 is an abundant number, since it is smaller than the sum of its proper divisors (2570147328).

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

971695872 is a wasteful number, since it uses less digits than its factorization.

971695872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 971695872 is about 31172.0366995806. The cubic root of 971695872 is about 990.4748502565.

It can be divided in two parts, 97169 and 5872, that added together give a square (103041 = 321²).

The spelling of 971695872 in words is "nine hundred seventy-one million, six hundred ninety-five thousand, eight hundred seventy-two".