112356 has 18 divisors (see below), whose sum is σ = 284102. Its totient is φ = 37440.

The previous prime is 112349. The next prime is 112361. The reversal of 112356 is 653211.

112356 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 54756 = 240^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 8, base 10 and base 15.

It is a zygodrome in base 8.

It is an unprimeable number.

112356 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 5 ways as a sum of consecutive naturals, for example, 1525 + ... + 1596.

2¹¹²³⁵⁶ is an apocalyptic number.

It is an amenable number.

112356 is an abundant number, since it is smaller than the sum of its proper divisors (171746).

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

112356 is a wasteful number, since it uses less digits than its factorization.

112356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3126 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 112356 is about 335.1954653631. The cubic root of 112356 is about 48.2538633291.

Adding to 112356 its reverse (653211), we get a palindrome (765567).

The spelling of 112356 in words is "one hundred twelve thousand, three hundred fifty-six".