112617 has 16 divisors (see below), whose sum is σ = 172480. Its totient is φ = 72576.

The previous prime is 112603. The next prime is 112621. The reversal of 112617 is 716211.

Added to its reverse (716211) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 112617 - 2⁴ = 112601 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 112617.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2¹¹²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

112617 is a deficient number, since it is larger than the sum of its proper divisors (59863).

112617 is an equidigital number, since it uses as much as digits as its factorization.

112617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 112617 is about 335.5845646033. The cubic root of 112617 is about 48.2911985814.

Adding to 112617 its reverse (716211), we get a palindrome (828828).

It can be divided in two parts, 112 and 617, that added together give a 6-th power (729 = 3⁶).

The spelling of 112617 in words is "one hundred twelve thousand, six hundred seventeen".