216827 has 6 divisors (see below), whose sum is σ = 234972. Its totient is φ = 199992.

The previous prime is 216803. The next prime is 216829. The reversal of 216827 is 728612.

It is not a de Polignac number, because 216827 - 2⁸ = 216571 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216796 and 216805.

It is not an unprimeable number, because it can be changed into a prime (216829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (39162).

2²¹⁶⁸²⁷ is an apocalyptic number.

216827 is a deficient number, since it is larger than the sum of its proper divisors (18145).

216827 is a wasteful number, since it uses less digits than its factorization.

216827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 216827 is about 465.6468619029. The cubic root of 216827 is about 60.0764765549.

The spelling of 216827 in words is "two hundred sixteen thousand, eight hundred twenty-seven".