33088 has 28 divisors (see below), whose sum is σ = 73152. Its totient is φ = 14720.

The previous prime is 33083. The next prime is 33091. The reversal of 33088 is 88033.

33088 = T₇₂ + T₇₃ + ... + T₈₂.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33083) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 681 + ... + 727.

2³³⁰⁸⁸ 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 33088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576).

33088 is an abundant number, since it is smaller than the sum of its proper divisors (40064).

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

33088 is a wasteful number, since it uses less digits than its factorization.

33088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

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

The square root of 33088 is about 181.9010720144. The cubic root of 33088 is about 32.1038294102.

Adding to 33088 its reverse (88033), we get a palindrome (121121).

Subtracting 33088 from its reverse (88033), we obtain a palindrome (54945).

The spelling of 33088 in words is "thirty-three thousand, eighty-eight".