33223968 has 36 divisors (see below), whose sum is σ = 94481478. Its totient is φ = 11074560.

The previous prime is 33223961. The next prime is 33223969. The reversal of 33223968 is 86932233.

It can be written as a sum of positive squares in only one way, i.e., 22014864 + 11209104 = 4692^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33223968² = 2207664099330048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (33223961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57393 + ... + 57968.

Almost surely, 2^33223968 is an apocalyptic number.

It is an amenable number.

33223968 is an abundant number, since it is smaller than the sum of its proper divisors (61257510).

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

33223968 is a wasteful number, since it uses less digits than its factorization.

33223968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115377 (or 115366 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 33223968 is about 5764.0235946776. The cubic root of 33223968 is about 321.4774390040.

It can be divided in two parts, 33223 and 968, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 33223968 in words is "thirty-three million, two hundred twenty-three thousand, nine hundred sixty-eight".