18004122 has 36 divisors (see below), whose sum is σ = 41450526. Its totient is φ = 5646720.

The previous prime is 18004121. The next prime is 18004171. The reversal of 18004122 is 22140081.

It can be written as a sum of positive squares in 3 ways, for example, as 16818201 + 1185921 = 4101^2 + 1089^2 .

It is a super-3 number, since 3×18004122³ (a number of 23 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18004095 and 18004104.

It is not an unprimeable number, because it can be changed into a prime (18004121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3472 + ... + 6932.

Almost surely, 2^18004122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18004122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20725263).

18004122 is an abundant number, since it is smaller than the sum of its proper divisors (23446404).

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

18004122 is a wasteful number, since it uses less digits than its factorization.

18004122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18004122 is about 4243.1264416701. The cubic root of 18004122 is about 262.0941428867.

The spelling of 18004122 in words is "eighteen million, four thousand, one hundred twenty-two".