413112 has 32 divisors (see below), whose sum is σ = 1180800. Its totient is φ = 117984.

The previous prime is 413111. The next prime is 413113. The reversal of 413112 is 211314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413111) and next prime (413113).

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 a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413112.

It is not an unprimeable number, because it can be changed into a prime (413111) 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, 1062 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2⁴¹³¹¹² is an apocalyptic number.

413112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413112 is an abundant number, since it is smaller than the sum of its proper divisors (767688).

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

413112 is a wasteful number, since it uses less digits than its factorization.

413112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).

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

The square root of 413112 is about 642.7378937016. The cubic root of 413112 is about 74.4770735574.

Adding to 413112 its reverse (211314), we get a palindrome (624426).

It can be divided in two parts, 413 and 112, that added together give a palindrome (525).

The spelling of 413112 in words is "four hundred thirteen thousand, one hundred twelve".