32112 has 30 divisors (see below), whose sum is σ = 90272. Its totient is φ = 10656.

The previous prime is 32099. The next prime is 32117. The reversal of 32112 is 21123.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 32094 and 32103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32117) by changing a digit.

32112 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, 33 + ... + 255.

2³²¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136).

32112 is an abundant number, since it is smaller than the sum of its proper divisors (58160).

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

32112 is a wasteful number, since it uses less digits than its factorization.

32112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 32112 is about 179.1982142768. The cubic root of 32112 is about 31.7850172685.

Adding to 32112 its reverse (21123), we get a palindrome (53235).

It can be divided in two parts, 321 and 12, that added together give a palindrome (333).

The spelling of 32112 in words is "thirty-two thousand, one hundred twelve".