180601 has 4 divisors (see below), whose sum is σ = 181492. Its totient is φ = 179712.

The previous prime is 180569. The next prime is 180617. The reversal of 180601 is 106081.

180601 = 300² + 301².

180601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106081 = 43 ⋅2467.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 90601 = 300^2 + 301^2 .

It is a cyclic number.

It is not a de Polignac number, because 180601 - 2⁵ = 180569 is a prime.

It is a Duffinian number.

180601 is a lucky number.

It is a nialpdrome in base 12.

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 3 ways as a sum of consecutive naturals, for example, 25 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (45373).

2¹⁸⁰⁶⁰¹ is an apocalyptic number.

180601 is the 301-st centered square number.

It is an amenable number.

180601 is a deficient number, since it is larger than the sum of its proper divisors (891).

180601 is an equidigital number, since it uses as much as digits as its factorization.

180601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 180601 is about 424.9717637679. The cubic root of 180601 is about 56.5249322182.

Adding to 180601 its reverse (106081), we get a palindrome (286682).

The spelling of 180601 in words is "one hundred eighty thousand, six hundred one".