33642 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 9504.

The previous prime is 33641. The next prime is 33647. The reversal of 33642 is 24633.

It is a super-2 number, since 2×33642² = 2263568328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33641) 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 15 ways as a sum of consecutive naturals, for example, 334 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³³⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

33642 is an abundant number, since it is smaller than the sum of its proper divisors (52758).

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

33642 is a wasteful number, since it uses less digits than its factorization.

33642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 33642 is about 183.4175564116. The cubic root of 33642 is about 32.2820125609.

Subtracting from 33642 its reverse (24633), we obtain a palindrome (9009).

It can be divided in two parts, 336 and 42, that added together give a triangular number (378 = T₂₇).

The spelling of 33642 in words is "thirty-three thousand, six hundred forty-two".