33642112 has 32 divisors (see below), whose sum is σ = 76597920. Its totient is φ = 14417664.

The previous prime is 33642073. The next prime is 33642113. The reversal of 33642112 is 21124633.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33642112² = 2263583399641088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33642113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17878 + ... + 19669.

It is an arithmetic number, because the mean of its divisors is an integer number (2393685).

Almost surely, 2^33642112 is an apocalyptic number.

33642112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33642112 is an abundant number, since it is smaller than the sum of its proper divisors (42955808).

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

33642112 is an equidigital number, since it uses as much as digits as its factorization.

33642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37568 (or 37556 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 33642112 is about 5800.1820661079. The cubic root of 33642112 is about 322.8204838500.

Adding to 33642112 its reverse (21124633), we get a palindrome (54766745).

It can be divided in two parts, 3364 and 2112, that added together give a square (5476 = 74²).

The spelling of 33642112 in words is "thirty-three million, six hundred forty-two thousand, one hundred twelve".