112014 has 36 divisors (see below), whose sum is σ = 284544. Its totient is φ = 31752.

The previous prime is 111997. The next prime is 112019. The reversal of 112014 is 410211.

It is a happy number.

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

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 111987 and 112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112019) by changing a digit.

112014 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 17 ways as a sum of consecutive naturals, for example, 819 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (7904).

2¹¹²⁰¹⁴ is an apocalyptic number.

112014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142272).

112014 is an abundant number, since it is smaller than the sum of its proper divisors (172530).

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

112014 is a wasteful number, since it uses less digits than its factorization.

112014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

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

The square root of 112014 is about 334.6849264607. The cubic root of 112014 is about 48.2048536517.

Adding to 112014 its reverse (410211), we get a palindrome (522225).

It can be divided in two parts, 11 and 2014, that added together give a square (2025 = 45²).

The spelling of 112014 in words is "one hundred twelve thousand, fourteen", and thus it is an iban number.