35112 has 64 divisors (see below), whose sum is σ = 115200. Its totient is φ = 8640.

The previous prime is 35111. The next prime is 35117. The reversal of 35112 is 21153.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (35111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1839 + ... + 1857.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2³⁵¹¹² 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 35112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

35112 is an abundant number, since it is smaller than the sum of its proper divisors (80088).

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

35112 is a wasteful number, since it uses less digits than its factorization.

35112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 42 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 35112 is about 187.3819628459. The cubic root of 35112 is about 32.7455173244.

35112 divided by its sum of digits (12) gives a triangular number (2926 = T₇₆).

Adding to 35112 its reverse (21153), we get a palindrome (56265).

It can be divided in two parts, 351 and 12, that added together give a palindrome (363).

The spelling of 35112 in words is "thirty-five thousand, one hundred twelve".