18954 has 28 divisors (see below), whose sum is σ = 45906. Its totient is φ = 5832.

The previous prime is 18947. The next prime is 18959. The reversal of 18954 is 45981.

18954 = 32² + 33² + ... + 44².

It can be written as a sum of positive squares in only one way, i.e., 18225 + 729 = 135^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 3 and base 13.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (18959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1452 + ... + 1464.

2¹⁸⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22953).

18954 is an abundant number, since it is smaller than the sum of its proper divisors (26952).

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

18954 is an equidigital number, since it uses as much as digits as its factorization.

18954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 18 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 18954 is about 137.6735268670. The cubic root of 18954 is about 26.6624646157.

Adding to 18954 its sum of digits (27), we get a palindrome (18981).

It can be divided in two parts, 189 and 54, that added together give a 5-th power (243 = 3⁵).

The spelling of 18954 in words is "eighteen thousand, nine hundred fifty-four".