33041268 has 72 divisors (see below), whose sum is σ = 95259528. Its totient is φ = 9566208.

The previous prime is 33041263. The next prime is 33041269. The reversal of 33041268 is 86214033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 33039504 = 42^2 + 5748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33041263) 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, 5880 + ... + 10032.

It is an arithmetic number, because the mean of its divisors is an integer number (1323049).

Almost surely, 2^33041268 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 33041268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47629764).

33041268 is an abundant number, since it is smaller than the sum of its proper divisors (62218260).

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

33041268 is a wasteful number, since it uses less digits than its factorization.

33041268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33041268 is about 5748.1534426283. The cubic root of 33041268 is about 320.8870828859.

The spelling of 33041268 in words is "thirty-three million, forty-one thousand, two hundred sixty-eight".