33888 has 24 divisors (see below), whose sum is σ = 89208. Its totient is φ = 11264.

The previous prime is 33871. The next prime is 33889. The reversal of 33888 is 88833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33888² = 2296793088, which contains 22 as substring.

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

It is a plaindrome in base 10 and base 13.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33889) by changing a digit.

33888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (3717).

2³³⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

33888 is an abundant number, since it is smaller than the sum of its proper divisors (55320).

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 (44604).

33888 is a wasteful number, since it uses less digits than its factorization.

33888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 33888 is about 184.0869359841. The cubic root of 33888 is about 32.3605066734.

Subtracting 33888 from its reverse (88833), we obtain a palindrome (54945).

It can be divided in two parts, 3 and 3888, that multiplied together give a square (11664 = 108²).

The spelling of 33888 in words is "thirty-three thousand, eight hundred eighty-eight".