970112 has 64 divisors (see below), whose sum is σ = 2313360. Its totient is φ = 399360.

The previous prime is 970111. The next prime is 970133. The reversal of 970112 is 211079.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×970112³ = 2738967536713334784, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18278 + ... + 18330.

2⁹⁷⁰¹¹² 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 970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680).

970112 is an abundant number, since it is smaller than the sum of its proper divisors (1343248).

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

970112 is a wasteful number, since it uses less digits than its factorization.

970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 970112 is about 984.9426379237. The cubic root of 970112 is about 98.9936396961.

The spelling of 970112 in words is "nine hundred seventy thousand, one hundred twelve".