33007104 has 240 divisors, whose sum is σ = 111711600. Its totient is φ = 9289728.

The previous prime is 33007097. The next prime is 33007109. The reversal of 33007104 is 40170033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33007109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138162 + ... + 1138190.

It is an arithmetic number, because the mean of its divisors is an integer number (465465).

Almost surely, 2^33007104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800).

33007104 is an abundant number, since it is smaller than the sum of its proper divisors (78704496).

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

33007104 is a wasteful number, since it uses less digits than its factorization.

33007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 33007104 is about 5745.1809370985. The cubic root of 33007104 is about 320.7764478369.

Adding to 33007104 its reverse (40170033), we get a palindrome (73177137).

It can be divided in two parts, 3300 and 7104, that added together give a square (10404 = 102²).

The spelling of 33007104 in words is "thirty-three million, seven thousand, one hundred four".