431112 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 123200.

The previous prime is 431107. The next prime is 431141. The reversal of 431112 is 211134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431112.

It is an unprimeable number.

431112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6037 + ... + 6107.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴³¹¹¹² 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 431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

431112 is an abundant number, since it is smaller than the sum of its proper divisors (813048).

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

431112 is a wasteful number, since it uses less digits than its factorization.

431112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 431112 is about 656.5911970168. The cubic root of 431112 is about 75.5434307085.

Adding to 431112 its reverse (211134), we get a palindrome (642246).

The spelling of 431112 in words is "four hundred thirty-one thousand, one hundred twelve".