18512 has 20 divisors (see below), whose sum is σ = 39060. Its totient is φ = 8448.

The previous prime is 18503. The next prime is 18517. The reversal of 18512 is 21581.

18512 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 15376 = 56^2 + 124^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2¹⁸⁵¹² 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 18512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530).

18512 is an abundant number, since it is smaller than the sum of its proper divisors (20548).

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

18512 is a wasteful number, since it uses less digits than its factorization.

18512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 18512 is about 136.0588108136. The cubic root of 18512 is about 26.4535795842.

It can be divided in two parts, 18 and 512, that multiplied together give a square (9216 = 96²).

The spelling of 18512 in words is "eighteen thousand, five hundred twelve".