971833660 has 216 divisors, whose sum is σ = 2604997584. Its totient is φ = 303367680.

The previous prime is 971833633. The next prime is 971833661. The reversal of 971833660 is 66338179.

971833660 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 not an unprimeable number, because it can be changed into a prime (971833661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14504947 + ... + 14505013.

It is an arithmetic number, because the mean of its divisors is an integer number (12060174).

Almost surely, 2^971833660 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 971833660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302498792).

971833660 is an abundant number, since it is smaller than the sum of its proper divisors (1633163924).

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

971833660 is a wasteful number, since it uses less digits than its factorization.

971833660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 971833660 is about 31174.2467431051. The cubic root of 971833660 is about 990.5216650066.

The spelling of 971833660 in words is "nine hundred seventy-one million, eight hundred thirty-three thousand, six hundred sixty".