33488 has 40 divisors (see below), whose sum is σ = 83328. Its totient is φ = 12672.

The previous prime is 33487. The next prime is 33493. The reversal of 33488 is 88433.

It is a Cunningham number, because it is equal to 183²-1.

It is a super-2 number, since 2×33488² = 2242892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445 + ... + 1467.

2³³⁴⁸⁸ 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 33488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

33488 is an abundant number, since it is smaller than the sum of its proper divisors (49840).

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

33488 is a wasteful number, since it uses less digits than its factorization.

33488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 33488 is about 182.9972677392. The cubic root of 33488 is about 32.2326790389.

Subtracting 33488 from its reverse (88433), we obtain a palindrome (54945).

It can be divided in two parts, 334 and 88, that multiplied together give a palindrome (29392).

The spelling of 33488 in words is "thirty-three thousand, four hundred eighty-eight".