33144912 has 60 divisors (see below), whose sum is σ = 95970420. Its totient is φ = 10665984.

The previous prime is 33144907. The next prime is 33144919. The reversal of 33144912 is 21944133.

It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 5645376 = 5244^2 + 2376^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208 + ... + 8144.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^33144912 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 33144912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47985210).

33144912 is an abundant number, since it is smaller than the sum of its proper divisors (62825508).

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

33144912 is a wasteful number, since it uses less digits than its factorization.

33144912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7971 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33144912 is about 5757.1618007487. The cubic root of 33144912 is about 321.2222526969. Note that the first 4 decimals are identical.

The spelling of 33144912 in words is "thirty-three million, one hundred forty-four thousand, nine hundred twelve".