33047144 has 32 divisors (see below), whose sum is σ = 67110120. Its totient is φ = 15165696.

The previous prime is 33047123. The next prime is 33047149. The reversal of 33047144 is 44174033.

It can be written as a sum of positive squares in 4 ways, for example, as 31696900 + 1350244 = 5630^2 + 1162^2 .

It is a super-2 number, since 2×33047144² = 2184227453113472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (33047149) 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 7 ways as a sum of consecutive naturals, for example, 19682 + ... + 21294.

Almost surely, 2^33047144 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 33047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33555060).

33047144 is an abundant number, since it is smaller than the sum of its proper divisors (34062976).

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

33047144 is a wasteful number, since it uses less digits than its factorization.

33047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 33047144 is about 5748.6645405694. The cubic root of 33047144 is about 320.9061037533.

It can be divided in two parts, 330 and 47144, that added together give a palindrome (47474).

The spelling of 33047144 in words is "thirty-three million, forty-seven thousand, one hundred forty-four".