33330042 has 40 divisors (see below), whose sum is σ = 75050976. Its totient is φ = 11055528.

The previous prime is 33330041. The next prime is 33330043. The reversal of 33330042 is 24003333.

It is an interprime number because it is at equal distance from previous prime (33330041) and next prime (33330043).

It is a super-3 number, since 3×33330042³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 33329997 and 33330024.

It is not an unprimeable number, because it can be changed into a prime (33330041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45483 + ... + 46209.

Almost surely, 2^33330042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33330042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37525488).

33330042 is an abundant number, since it is smaller than the sum of its proper divisors (41720934).

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

33330042 is a wasteful number, since it uses less digits than its factorization.

33330042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 33330042 is about 5773.2176470319. The cubic root of 33330042 is about 321.8192020286.

Adding to 33330042 its reverse (24003333), we get a palindrome (57333375).

The spelling of 33330042 in words is "thirty-three million, three hundred thirty thousand, forty-two".