180801 has 6 divisors (see below), whose sum is σ = 261170. Its totient is φ = 120528.

The previous prime is 180799. The next prime is 180811. The reversal of 180801 is 108081.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 57600 = 351^2 + 240^2 .

It is not a de Polignac number, because 180801 - 2¹ = 180799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10036 + ... + 10053.

2¹⁸⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

180801 is a deficient number, since it is larger than the sum of its proper divisors (80369).

180801 is a wasteful number, since it uses less digits than its factorization.

180801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20095 (or 20092 counting only the distinct ones).

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

The square root of 180801 is about 425.2070084088. The cubic root of 180801 is about 56.5457900132.

Adding to 180801 its reverse (108081), we get a palindrome (288882).

It can be divided in two parts, 18080 and 1, that added together give a palindrome (18081).

The spelling of 180801 in words is "one hundred eighty thousand, eight hundred one".