972112 has 10 divisors (see below), whose sum is σ = 1883498. Its totient is φ = 486048.

The previous prime is 972091. The next prime is 972113. The reversal of 972112 is 211279.

972112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 118336 = 924^2 + 344^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30363 + ... + 30394.

2⁹⁷²¹¹² is an apocalyptic number.

It is an amenable number.

972112 is a deficient number, since it is larger than the sum of its proper divisors (911386).

972112 is a wasteful number, since it uses less digits than its factorization.

972112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60765 (or 60759 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 972112 is about 985.9574027310. The cubic root of 972112 is about 99.0616220105.

It can be divided in two parts, 97 and 2112, that added together give a square (2209 = 47²).

The spelling of 972112 in words is "nine hundred seventy-two thousand, one hundred twelve".