971117664 has 192 divisors, whose sum is σ = 3030048000. Its totient is φ = 269015040.

The previous prime is 971117663. The next prime is 971117669. The reversal of 971117664 is 466711179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971117663) 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, 581022 + ... + 582690.

It is an arithmetic number, because the mean of its divisors is an integer number (15781500).

Almost surely, 2^971117664 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 971117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515024000).

971117664 is an abundant number, since it is smaller than the sum of its proper divisors (2058930336).

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

971117664 is a wasteful number, since it uses less digits than its factorization.

971117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1733 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 971117664 is about 31162.7608533005. The cubic root of 971117664 is about 990.2783504628.

The spelling of 971117664 in words is "nine hundred seventy-one million, one hundred seventeen thousand, six hundred sixty-four".