41112 has 24 divisors (see below), whose sum is σ = 111540. Its totient is φ = 13680.

The previous prime is 41081. The next prime is 41113. The reversal of 41112 is 21114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 junction number, because it is equal to n+sod(n) for n = 41094 and 41103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214 + ... + 357.

2⁴¹¹¹² is an apocalyptic number.

It is an amenable number.

41112 is an abundant number, since it is smaller than the sum of its proper divisors (70428).

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

41112 is a wasteful number, since it uses less digits than its factorization.

41112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 41112 is about 202.7609429846. The cubic root of 41112 is about 34.5135422576.

Adding to 41112 its reverse (21114), we get a palindrome (62226).

It can be divided in two parts, 41 and 112, that added together give a triangular number (153 = T₁₇).

The spelling of 41112 in words is "forty-one thousand, one hundred twelve", and thus it is an iban number.