180713 has 4 divisors (see below), whose sum is σ = 194628. Its totient is φ = 166800.

The previous prime is 180701. The next prime is 180731. The reversal of 180713 is 317081.

180713 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 an emirpimes, since its reverse is a distinct semiprime: 317081 = 109 ⋅2909.

It can be written as a sum of positive squares in 2 ways, for example, as 85849 + 94864 = 293^2 + 308^2 .

It is a cyclic number.

It is not a de Polignac number, because 180713 - 2¹⁰ = 179689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180773) 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, 6938 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (48657).

2¹⁸⁰⁷¹³ is an apocalyptic number.

180713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

180713 is a deficient number, since it is larger than the sum of its proper divisors (13915).

180713 is a wasteful number, since it uses less digits than its factorization.

180713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 180713 is about 425.1035168050. The cubic root of 180713 is about 56.5366144794.

Adding to 180713 its reverse (317081), we get a palindrome (497794).

The spelling of 180713 in words is "one hundred eighty thousand, seven hundred thirteen".