102827 has 6 divisors (see below), whose sum is σ = 107244. Its totient is φ = 98580.

The previous prime is 102811. The next prime is 102829. The reversal of 102827 is 728201.

102827 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 102827 - 2⁴ = 102811 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102799 and 102808.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102827.

It is not an unprimeable number, because it can be changed into a prime (102829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 908 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (17874).

2¹⁰²⁸²⁷ is an apocalyptic number.

102827 is a deficient number, since it is larger than the sum of its proper divisors (4417).

102827 is an equidigital number, since it uses as much as digits as its factorization.

102827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 102827 is about 320.6664934164. Note that the first 3 decimals coincide. The cubic root of 102827 is about 46.8492225679.

It can be divided in two parts, 102 and 827, that added together give a palindrome (929).

The spelling of 102827 in words is "one hundred two thousand, eight hundred twenty-seven".