13452 has 24 divisors (see below), whose sum is σ = 33600. Its totient is φ = 4176.

The previous prime is 13451. The next prime is 13457. The reversal of 13452 is 25431.

13452 is nontrivially palindromic in base 11.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2¹³⁴⁵² is an apocalyptic number.

13452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

13452 is an abundant number, since it is smaller than the sum of its proper divisors (20148).

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

13452 is a wasteful number, since it uses less digits than its factorization.

13452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 13452 is about 115.9827573392. The cubic root of 13452 is about 23.7827618037.

Adding to 13452 its reverse (25431), we get a palindrome (38883).

It can be divided in two parts, 13 and 452, that added together give a triangular number (465 = T₃₀).

The spelling of 13452 in words is "thirteen thousand, four hundred fifty-two".