112616 has 16 divisors (see below), whose sum is σ = 241440. Its totient is φ = 48240.

The previous prime is 112603. The next prime is 112621. The reversal of 112616 is 616211.

It is a happy number.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 112594 and 112603.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112616.

It is an unprimeable number.

112616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (15090).

2¹¹²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

112616 is an abundant number, since it is smaller than the sum of its proper divisors (128824).

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

112616 is a wasteful number, since it uses less digits than its factorization.

112616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2020 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 112616 is about 335.5830746626. The cubic root of 112616 is about 48.2910556446.

Adding to 112616 its reverse (616211), we get a palindrome (728827).

The spelling of 112616 in words is "one hundred twelve thousand, six hundred sixteen".