971951112 has 192 divisors, whose sum is σ = 3022531200. Its totient is φ = 279290880.

The previous prime is 971951107. The next prime is 971951129. The reversal of 971951112 is 211159179.

971951112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4171348 + ... + 4171580.

It is an arithmetic number, because the mean of its divisors is an integer number (15742350).

Almost surely, 2^971951112 is an apocalyptic number.

971951112 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971951112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511265600).

971951112 is an abundant number, since it is smaller than the sum of its proper divisors (2050580088).

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

971951112 is a wasteful number, since it uses less digits than its factorization.

971951112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its digits is 5670, while the sum is 36.

The square root of 971951112 is about 31176.1304847154. The cubic root of 971951112 is about 990.5615669188.

The spelling of 971951112 in words is "nine hundred seventy-one million, nine hundred fifty-one thousand, one hundred twelve".