18546 has 16 divisors (see below), whose sum is σ = 40608. Its totient is φ = 5600.

The previous prime is 18541. The next prime is 18553. The reversal of 18546 is 64581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18541) 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, 75 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (2538).

2¹⁸⁵⁴⁶ is an apocalyptic number.

18546 is an abundant number, since it is smaller than the sum of its proper divisors (22062).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304).

18546 is a wasteful number, since it uses less digits than its factorization.

18546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297.

The product of its digits is 960, while the sum is 24.

The square root of 18546 is about 136.1836994651. The cubic root of 18546 is about 26.4697649708.

It can be divided in two parts, 185 and 46, that added together give a triangular number (231 = T₂₁).

The spelling of 18546 in words is "eighteen thousand, five hundred forty-six".