18522 has 32 divisors (see below), whose sum is σ = 48000. Its totient is φ = 5292.

The previous prime is 18521. The next prime is 18523. The reversal of 18522 is 22581.

It is an interprime number because it is at equal distance from previous prime (18521) and next prime (18523).

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

It is a d-powerful number, because it can be written as 1 + 8² + 5² + 2¹¹ + 2¹⁴ .

Its product of digits (160) is a multiple of the sum of its prime factors (32).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18495 and 18504.

It is not an unprimeable number, because it can be changed into a prime (18521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2643 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (1500).

18522 is a Friedman number, since it can be written as 21^(8-5)*2, using all its digits and the basic arithmetic operations.

2¹⁸⁵²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24000).

18522 is an abundant number, since it is smaller than the sum of its proper divisors (29478).

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

18522 is an equidigital number, since it uses as much as digits as its factorization.

18522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 12 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 18522 is about 136.0955546666. The cubic root of 18522 is about 26.4583420478.

The spelling of 18522 in words is "eighteen thousand, five hundred twenty-two".