18436 has 12 divisors (see below), whose sum is σ = 35280. Its totient is φ = 8360.

The previous prime is 18433. The next prime is 18439. The reversal of 18436 is 63481.

It is an interprime number because it is at equal distance from previous prime (18433) and next prime (18439).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 1 + 8³ + 4⁷ + 3⁵ + 6⁴ .

It is not an unprimeable number, because it can be changed into a prime (18433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2¹⁸⁴³⁶ is an apocalyptic number.

It is an amenable number.

18436 is a deficient number, since it is larger than the sum of its proper divisors (16844).

18436 is a wasteful number, since it uses less digits than its factorization.

18436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 18436 is about 135.7792325799. The cubic root of 18436 is about 26.4173286905.

18436 divided by its sum of digits (22) gives a palindrome (838).

Multiplying 18436 by its product of digits (576), we get a triangular number (10619136 = T₄₆₀₈).

It can be divided in two parts, 1843 and 6, that added together give a square (1849 = 43²).

The spelling of 18436 in words is "eighteen thousand, four hundred thirty-six".