180827 has 4 divisors (see below), whose sum is σ = 181896. Its totient is φ = 179760.

The previous prime is 180811. The next prime is 180847. The reversal of 180827 is 728081.

180827 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: 728081 = 257 ⋅2833.

It is a cyclic number.

It is not a de Polignac number, because 180827 - 2⁴ = 180811 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180796 and 180805.

It is not an unprimeable number, because it can be changed into a prime (180847) 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, 218 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (45474).

2¹⁸⁰⁸²⁷ is an apocalyptic number.

180827 is a deficient number, since it is larger than the sum of its proper divisors (1069).

180827 is an equidigital number, since it uses as much as digits as its factorization.

180827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 180827 is about 425.2375806535. The cubic root of 180827 is about 56.5485003966.

The spelling of 180827 in words is "one hundred eighty thousand, eight hundred twenty-seven".