36112 has 20 divisors (see below), whose sum is σ = 73036. Its totient is φ = 17280.

The previous prime is 36109. The next prime is 36131. The reversal of 36112 is 21163.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 20736 = 124^2 + 144^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 36092 and 36101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 562 + ... + 622.

2³⁶¹¹² is an apocalyptic number.

It is an amenable number.

36112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36518).

36112 is a wasteful number, since it uses less digits than its factorization.

36112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 36112 is about 190.0315763235. The cubic root of 36112 is about 33.0534792483.

Adding to 36112 its reverse (21163), we get a palindrome (57275).

It can be divided in two parts, 361 and 12, that added together give a palindrome (373).

The spelling of 36112 in words is "thirty-six thousand, one hundred twelve".