10827 has 8 divisors (see below), whose sum is σ = 16080. Its totient is φ = 7200.

The previous prime is 10799. The next prime is 10831. The reversal of 10827 is 72801.

10827 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10827 - 2¹⁰ = 9803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10837) 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 7 ways as a sum of consecutive naturals, for example, 174 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2010).

2¹⁰⁸²⁷ is an apocalyptic number.

10827 is a deficient number, since it is larger than the sum of its proper divisors (5253).

10827 is an equidigital number, since it uses as much as digits as its factorization.

10827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10827 is about 104.0528711761. The cubic root of 10827 is about 22.1225938205.

It can be divided in two parts, 1082 and 7, that added together give a square (1089 = 33²).

The spelling of 10827 in words is "ten thousand, eight hundred twenty-seven".