33208 has 16 divisors (see below), whose sum is σ = 71280. Its totient is φ = 14208.

The previous prime is 33203. The next prime is 33211. The reversal of 33208 is 80233.

It is a happy number.

It is a super-2 number, since 2×33208² = 2205542528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33191 and 33200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2³³²⁰⁸ is an apocalyptic number.

It is an amenable number.

33208 is an abundant number, since it is smaller than the sum of its proper divisors (38072).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640).

33208 is a wasteful number, since it uses less digits than its factorization.

33208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33208 is about 182.2306231126. The cubic root of 33208 is about 32.1425928256.

The spelling of 33208 in words is "thirty-three thousand, two hundred eight".