180313 has 4 divisors (see below), whose sum is σ = 206080. Its totient is φ = 154548.

The previous prime is 180311. The next prime is 180317. The reversal of 180313 is 313081.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 180313 - 2¹ = 180311 is a prime.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180311) 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 3 ways as a sum of consecutive naturals, for example, 12873 + ... + 12886.

It is an arithmetic number, because the mean of its divisors is an integer number (51520).

2¹⁸⁰³¹³ is an apocalyptic number.

It is an amenable number.

180313 is a deficient number, since it is larger than the sum of its proper divisors (25767).

180313 is an equidigital number, since it uses as much as digits as its factorization.

180313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25766.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 180313 is about 424.6327825310. The cubic root of 180313 is about 56.4948699234.

Adding to 180313 its reverse (313081), we get a palindrome (493394).

The spelling of 180313 in words is "one hundred eighty thousand, three hundred thirteen".