112967946 has 160 divisors (see below), whose sum is σ = 318743040. Its totient is φ = 29113344.

The previous prime is 112967893. The next prime is 112967947. The reversal of 112967946 is 649769211.

It is not an unprimeable number, because it can be changed into a prime (112967947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1164570 + ... + 1164666.

It is an arithmetic number, because the mean of its divisors is an integer number (1992144).

Almost surely, 2^112967946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112967946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159371520).

112967946 is an abundant number, since it is smaller than the sum of its proper divisors (205775094).

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

112967946 is a wasteful number, since it uses less digits than its factorization.

112967946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 112967946 is about 10628.6380124642. The cubic root of 112967946 is about 483.4130951468.

The spelling of 112967946 in words is "one hundred twelve million, nine hundred sixty-seven thousand, nine hundred forty-six".