31066112 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 12042240.

The previous prime is 31066111. The next prime is 31066117. The reversal of 31066112 is 21166013.

It is not an unprimeable number, because it can be changed into a prime (31066111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157598 + ... + 157794.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 2^31066112 is an apocalyptic number.

31066112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

31066112 is an abundant number, since it is smaller than the sum of its proper divisors (46771648).

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

31066112 is a wasteful number, since it uses less digits than its factorization.

31066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 31066112 is about 5573.6982336686. The cubic root of 31066112 is about 314.3612216847.

Subtracting from 31066112 its reverse (21166013), we obtain a palindrome (9900099).

The spelling of 31066112 in words is "thirty-one million, sixty-six thousand, one hundred twelve".