971664992 has 96 divisors (see below), whose sum is σ = 2118057984. Its totient is φ = 437184000.

The previous prime is 971664979. The next prime is 971665001. The reversal of 971664992 is 299466179.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843617 + ... + 844767.

It is an arithmetic number, because the mean of its divisors is an integer number (22063104).

Almost surely, 2^971664992 is an apocalyptic number.

971664992 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971664992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059028992).

971664992 is an abundant number, since it is smaller than the sum of its proper divisors (1146392992).

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

971664992 is a wasteful number, since it uses less digits than its factorization.

971664992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 53.

The square root of 971664992 is about 31171.5413799190. The cubic root of 971664992 is about 990.4643578832.

The spelling of 971664992 in words is "nine hundred seventy-one million, six hundred sixty-four thousand, nine hundred ninety-two".