33134112 has 72 divisors (see below), whose sum is σ = 102800880. Its totient is φ = 10039680.

The previous prime is 33134111. The next prime is 33134131. The reversal of 33134112 is 21143133.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33134111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2062 + ... + 8397.

It is an arithmetic number, because the mean of its divisors is an integer number (1427790).

Almost surely, 2^33134112 is an apocalyptic number.

33134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33134112 is an abundant number, since it is smaller than the sum of its proper divisors (69666768).

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

33134112 is a wasteful number, since it uses less digits than its factorization.

33134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10475 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33134112 is about 5756.2237621552. The cubic root of 33134112 is about 321.1873596873.

Adding to 33134112 its reverse (21143133), we get a palindrome (54277245).

It can be divided in two parts, 331 and 34112, that added together give a palindrome (34443).

The spelling of 33134112 in words is "thirty-three million, one hundred thirty-four thousand, one hundred twelve".