13552 has 30 divisors (see below), whose sum is σ = 32984. Its totient is φ = 5280.

The previous prime is 13537. The next prime is 13553. The reversal of 13552 is 25531.

13552 is nontrivially palindromic in base 13.

13552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1227 + ... + 1237.

2¹³⁵⁵² 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 13552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492).

13552 is an abundant number, since it is smaller than the sum of its proper divisors (19432).

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

13552 is a wasteful number, since it uses less digits than its factorization.

13552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 20 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 13552 is about 116.4130576868. The cubic root of 13552 is about 23.8415487786.

It can be divided in two parts, 13 and 552, that added together give a palindrome (565).

The spelling of 13552 in words is "thirteen thousand, five hundred fifty-two".