112817971 has 16 divisors (see below), whose sum is σ = 131961600. Its totient is φ = 94452768.

The previous prime is 112817951. The next prime is 112817977. The reversal of 112817971 is 179718211.

It is a cyclic number.

It is not a de Polignac number, because 112817971 - 2¹⁵ = 112785203 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112817971.

It is not an unprimeable number, because it can be changed into a prime (112817977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70660 + ... + 72238.

It is an arithmetic number, because the mean of its divisors is an integer number (8247600).

Almost surely, 2^112817971 is an apocalyptic number.

112817971 is a deficient number, since it is larger than the sum of its proper divisors (19143629).

112817971 is a wasteful number, since it uses less digits than its factorization.

112817971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818.

The product of its digits is 7056, while the sum is 37.

The square root of 112817971 is about 10621.5804379574. The cubic root of 112817971 is about 483.1990757766.

The spelling of 112817971 in words is "one hundred twelve million, eight hundred seventeen thousand, nine hundred seventy-one".