180823 has 8 divisors (see below), whose sum is σ = 197120. Its totient is φ = 165240.

The previous prime is 180811. The next prime is 180847. The reversal of 180823 is 328081.

180823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 180823 - 2⁹ = 180311 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 180794 and 180803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2¹⁸⁰⁸²³ is an apocalyptic number.

180823 is a deficient number, since it is larger than the sum of its proper divisors (16297).

180823 is a wasteful number, since it uses less digits than its factorization.

180823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 180823 is about 425.2328773743. The cubic root of 180823 is about 56.5480834314.

The spelling of 180823 in words is "one hundred eighty thousand, eight hundred twenty-three".