33552 has 30 divisors (see below), whose sum is σ = 94302. Its totient is φ = 11136.

The previous prime is 33547. The next prime is 33563. The reversal of 33552 is 25533.

33552 is nontrivially palindromic in base 11.

33552 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 9216 = 156^2 + 96^2 .

It is a super-2 number, since 2×33552² = 2251473408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

33552 is an undulating number in base 11.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is an unprimeable number.

33552 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 5 ways as a sum of consecutive naturals, for example, 28 + ... + 260.

2³³⁵⁵² 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 33552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47151).

33552 is an abundant number, since it is smaller than the sum of its proper divisors (60750).

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

33552 is a wasteful number, since it uses less digits than its factorization.

33552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 33552 is about 183.1720502697. The cubic root of 33552 is about 32.2531996104.

It can be divided in two parts, 33 and 552, that added together give a palindrome (585).

The spelling of 33552 in words is "thirty-three thousand, five hundred fifty-two".