33042 has 8 divisors (see below), whose sum is σ = 66096. Its totient is φ = 11012.

The previous prime is 33037. The next prime is 33049. The reversal of 33042 is 24033.

It is a sphenic number, since it is the product of 3 distinct primes.

33042 is an admirable number.

It is a d-powerful number, because it can be written as 3³ + 3⁵ + 0 + 4 + 2¹⁵ .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (33049) by changing a digit.

33042 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 3 ways as a sum of consecutive naturals, for example, 2748 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (8262).

2³³⁰⁴² is an apocalyptic number.

33042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048).

33042 is a wasteful number, since it uses less digits than its factorization.

33042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 33042 is about 181.7745856824. The cubic root of 33042 is about 32.0889452525.

Adding to 33042 its reverse (24033), we get a palindrome (57075).

Subtracting from 33042 its reverse (24033), we obtain a palindrome (9009).

The spelling of 33042 in words is "thirty-three thousand, forty-two".