33433216 has 32 divisors (see below), whose sum is σ = 67090500. Its totient is φ = 16594944.

The previous prime is 33433199. The next prime is 33433249. The reversal of 33433216 is 61233433.

It can be written as a sum of positive squares in 2 ways, for example, as 25000000 + 8433216 = 5000^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33433216² = 2235559864205312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18196 + ... + 19948.

Almost surely, 2^33433216 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 33433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33545250).

33433216 is an abundant number, since it is smaller than the sum of its proper divisors (33657284).

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

33433216 is a wasteful number, since it uses less digits than its factorization.

33433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1904 counting only the distinct ones).

The product of its digits is 3888, while the sum is 25.

The square root of 33433216 is about 5782.1463143023. The cubic root of 33433216 is about 322.1509265082.

Adding to 33433216 its reverse (61233433), we get a palindrome (94666649).

The spelling of 33433216 in words is "thirty-three million, four hundred thirty-three thousand, two hundred sixteen".