33023364 has 48 divisors (see below), whose sum is σ = 84926016. Its totient is φ = 9904000.

The previous prime is 33023363. The next prime is 33023369. The reversal of 33023364 is 46332033.

It is not an unprimeable number, because it can be changed into a prime (33023363) 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, 12094 + ... + 14570.

It is an arithmetic number, because the mean of its divisors is an integer number (1769292).

Almost surely, 2^33023364 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 33023364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42463008).

33023364 is an abundant number, since it is smaller than the sum of its proper divisors (51902652).

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

33023364 is a wasteful number, since it uses less digits than its factorization.

33023364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 33023364 is about 5746.5958618995. The cubic root of 33023364 is about 320.8291129521.

Adding to 33023364 its reverse (46332033), we get a palindrome (79355397).

It can be divided in two parts, 3302 and 3364, that added together give a palindrome (6666).

The spelling of 33023364 in words is "thirty-three million, twenty-three thousand, three hundred sixty-four".