971084097984 has 672 divisors, whose sum is σ = 3521548106496. Its totient is φ = 232150302720.

The previous prime is 971084097943. The next prime is 971084098001. The reversal of 971084097984 is 489790480179.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582533119 + ... + 582534785.

It is an arithmetic number, because the mean of its divisors is an integer number (5240398968).

Almost surely, 2^971084097984 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 971084097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760774053248).

971084097984 is an abundant number, since it is smaller than the sum of its proper divisors (2550464008512).

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

971084097984 is a wasteful number, since it uses less digits than its factorization.

971084097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 66.

The spelling of 971084097984 in words is "nine hundred seventy-one billion, eighty-four million, ninety-seven thousand, nine hundred eighty-four".