33004140 has 192 divisors, whose sum is σ = 111767040. Its totient is φ = 7188480.

The previous prime is 33004129. The next prime is 33004151. The reversal of 33004140 is 4140033.

It is an interprime number because it is at equal distance from previous prime (33004129) and next prime (33004151).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251875 + ... + 252005.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^33004140 is an apocalyptic number.

33004140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

33004140 is an abundant number, since it is smaller than the sum of its proper divisors (78762900).

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

33004140 is a wasteful number, since it uses less digits than its factorization.

33004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33004140 is about 5744.9229759850. The cubic root of 33004140 is about 320.7668457641.

Adding to 33004140 its reverse (4140033), we get a palindrome (37144173).

The spelling of 33004140 in words is "thirty-three million, four thousand, one hundred forty".