971411112 has 96 divisors (see below), whose sum is σ = 3029906880. Its totient is φ = 275408640.

The previous prime is 971411107. The next prime is 971411117. The reversal of 971411112 is 211114179.

It is an interprime number because it is at equal distance from previous prime (971411107) and next prime (971411117).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (971411117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58668 + ... + 73380.

It is an arithmetic number, because the mean of its divisors is an integer number (31561530).

Almost surely, 2^971411112 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 971411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514953440).

971411112 is an abundant number, since it is smaller than the sum of its proper divisors (2058495768).

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

971411112 is a wasteful number, since it uses less digits than its factorization.

971411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14863 (or 14856 counting only the distinct ones).

The product of its digits is 504, while the sum is 27.

The square root of 971411112 is about 31167.4688096419. The cubic root of 971411112 is about 990.3780863812.

The spelling of 971411112 in words is "nine hundred seventy-one million, four hundred eleven thousand, one hundred twelve".