971168 has 48 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 422400.

The previous prime is 971153. The next prime is 971171. The reversal of 971168 is 861179.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

971168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10868 + ... + 10956.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁹⁷¹¹⁶⁸ 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 971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

971168 is an abundant number, since it is smaller than the sum of its proper divisors (1206112).

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

971168 is a wasteful number, since it uses less digits than its factorization.

971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 971168 is about 985.4785639475. The cubic root of 971168 is about 99.0295459886.

It can be divided in two parts, 9711 and 68, that added together give a palindrome (9779).

The spelling of 971168 in words is "nine hundred seventy-one thousand, one hundred sixty-eight".