31418112 has 72 divisors (see below), whose sum is σ = 91244160. Its totient is φ = 9518080.

The previous prime is 31418099. The next prime is 31418131. The reversal of 31418112 is 21181413.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6589 + ... + 10307.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^31418112 is an apocalyptic number.

31418112 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 31418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45622080).

31418112 is an abundant number, since it is smaller than the sum of its proper divisors (59826048).

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

31418112 is a wasteful number, since it uses less digits than its factorization.

31418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3735 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 31418112 is about 5605.1861699680. The cubic root of 31418112 is about 315.5440735828.

Adding to 31418112 its reverse (21181413), we get a palindrome (52599525).

The spelling of 31418112 in words is "thirty-one million, four hundred eighteen thousand, one hundred twelve".