971665968 has 160 divisors (see below), whose sum is σ = 3155798016. Its totient is φ = 250758144.

The previous prime is 971665963. The next prime is 971665973. The reversal of 971665968 is 869566179.

It is a happy number.

971665968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (971665963) and next prime (971665973).

It is not an unprimeable number, because it can be changed into a prime (971665963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202930 + ... + 207662.

Almost surely, 2^971665968 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 971665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577899008).

971665968 is an abundant number, since it is smaller than the sum of its proper divisors (2184132048).

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

971665968 is a wasteful number, since it uses less digits than its factorization.

971665968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4805 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 971665968 is about 31171.5570352204. The cubic root of 971665968 is about 990.4646895108.

The spelling of 971665968 in words is "nine hundred seventy-one million, six hundred sixty-five thousand, nine hundred sixty-eight".