180081 has 24 divisors (see below), whose sum is σ = 303264. Its totient is φ = 101760.

The previous prime is 180077. The next prime is 180097.

It is a happy number.

180081 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 180081 - 2² = 180077 is a prime.

It is a super-2 number, since 2×180081² = 64858333122, which contains 22 as substring.

180081 is a strobogrammatic number because it is the same when read upside-down.

180081 is a modest number, since divided by 81 gives 18 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2¹⁸⁰⁰⁸¹ is an apocalyptic number.

180081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

180081 is a deficient number, since it is larger than the sum of its proper divisors (123183).

180081 is a wasteful number, since it uses less digits than its factorization.

180081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

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

The square root of 180081 is about 424.3595173906. The cubic root of 180081 is about 56.4706297870.

It can be divided in two parts, 1800 and 81, that added together give a palindrome (1881).

The spelling of 180081 in words is "one hundred eighty thousand, eighty-one".