33012144 has 80 divisors (see below), whose sum is σ = 103386240. Its totient is φ = 10002240.

The previous prime is 33012137. The next prime is 33012149. The reversal of 33012144 is 44121033.

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 (33012149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (1292328).

Almost surely, 2^33012144 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 33012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51693120).

33012144 is an abundant number, since it is smaller than the sum of its proper divisors (70374096).

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

33012144 is a wasteful number, since it uses less digits than its factorization.

33012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33012144 is about 5745.6195488389. The cubic root of 33012144 is about 320.7927739286.

Adding to 33012144 its reverse (44121033), we get a palindrome (77133177).

Subtracting 33012144 from its reverse (44121033), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 3301 and 2144, that added together give a palindrome (5445).

The spelling of 33012144 in words is "thirty-three million, twelve thousand, one hundred forty-four".