18801 has 6 divisors (see below), whose sum is σ = 27170. Its totient is φ = 12528.

The previous prime is 18797. The next prime is 18803. The reversal of 18801 is 10881.

18801 = T₂₃ + T₂₄ + ... + T₄₉.

It is a happy number.

18801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18225 + 576 = 135^2 + 24^2 .

It is not a de Polignac number, because 18801 - 2² = 18797 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (18803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1036 + ... + 1053.

2¹⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

18801 is a deficient number, since it is larger than the sum of its proper divisors (8369).

18801 is a wasteful number, since it uses less digits than its factorization.

18801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 18801 is about 137.1167385843. The cubic root of 18801 is about 26.5905293513.

It can be divided in two parts, 1880 and 1, that added together give a palindrome (1881).

The spelling of 18801 in words is "eighteen thousand, eight hundred one".