33808 has 10 divisors (see below), whose sum is σ = 65534. Its totient is φ = 16896.

The previous prime is 33797. The next prime is 33809. The reversal of 33808 is 80833.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 16384 = 132^2 + 128^2 .

It is a super-2 number, since 2×33808² = 2285961728, which contains 22 as substring.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33809) by changing a digit.

33808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1041 + ... + 1072.

2³³⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

33808 is a deficient number, since it is larger than the sum of its proper divisors (31726).

33808 is a wasteful number, since it uses less digits than its factorization.

33808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 33808 is about 183.8695189530. The cubic root of 33808 is about 32.3350219356.

It can be divided in two parts, 33 and 808, that added together give a square (841 = 29²).

The spelling of 33808 in words is "thirty-three thousand, eight hundred eight".