971664 has 40 divisors (see below), whose sum is σ = 2595072. Its totient is φ = 312960.

The previous prime is 971653. The next prime is 971683. The reversal of 971664 is 466179.

It is a happy number.

971664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162 + ... + 1814.

2⁹⁷¹⁶⁶⁴ 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 971664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297536).

971664 is an abundant number, since it is smaller than the sum of its proper divisors (1623408).

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

971664 is a wasteful number, since it uses less digits than its factorization.

971664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 971664 is about 985.7301862072. The cubic root of 971664 is about 99.0464020819.

The spelling of 971664 in words is "nine hundred seventy-one thousand, six hundred sixty-four".