180001 has 2 divisors, whose sum is σ = 180002. Its totient is φ = 180000.

The previous prime is 179999. The next prime is 180007. The reversal of 180001 is 100081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179776 + 225 = 424^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 180001 - 2¹ = 179999 is a prime.

Together with 179999, it forms a pair of twin primes.

180001 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 180001.

It is not a weakly prime, because it can be changed into another prime (180007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90000 + 90001.

It is an arithmetic number, because the mean of its divisors is an integer number (90001).

2¹⁸⁰⁰⁰¹ is an apocalyptic number.

It is an amenable number.

180001 is a deficient number, since it is larger than the sum of its proper divisors (1).

180001 is an equidigital number, since it uses as much as digits as its factorization.

180001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 180001 is about 424.2652472216. The cubic root of 180001 is about 56.4622662922.

Adding to 180001 its reverse (100081), we get a palindrome (280082).

The spelling of 180001 in words is "one hundred eighty thousand, one".