18527 has 4 divisors (see below), whose sum is σ = 18816. Its totient is φ = 18240.

The previous prime is 18523. The next prime is 18539. The reversal of 18527 is 72581.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72581 = 181 ⋅401.

It is a cyclic number.

It is not a de Polignac number, because 18527 - 2² = 18523 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2¹⁸⁵²⁷ is an apocalyptic number.

18527 is a deficient number, since it is larger than the sum of its proper divisors (289).

18527 is an equidigital number, since it uses as much as digits as its factorization.

18527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 560, while the sum is 23.

The square root of 18527 is about 136.1139228735. The cubic root of 18527 is about 26.4607226368.

It can be divided in two parts, 185 and 27, that added together give a palindrome (212).

The spelling of 18527 in words is "eighteen thousand, five hundred twenty-seven".