14532 has 24 divisors (see below), whose sum is σ = 38976. Its totient is φ = 4128.

The previous prime is 14519. The next prime is 14533. The reversal of 14532 is 23541.

It is a super-2 number, since 2×14532² = 422358048, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 14.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (14533) 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, 3 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1624).

2¹⁴⁵³² is an apocalyptic number.

14532 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 14532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19488).

14532 is an abundant number, since it is smaller than the sum of its proper divisors (24444).

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

14532 is a wasteful number, since it uses less digits than its factorization.

14532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

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

The square root of 14532 is about 120.5487453274. The cubic root of 14532 is about 24.4029200125.

Subtracting 14532 from its reverse (23541), we obtain a palindrome (9009).

The spelling of 14532 in words is "fourteen thousand, five hundred thirty-two".