216829 has 2 divisors, whose sum is σ = 216830. Its totient is φ = 216828.

The previous prime is 216803. The next prime is 216841. The reversal of 216829 is 928612.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 55225 = 402^2 + 235^2 .

It is a cyclic number.

It is not a de Polignac number, because 216829 - 2⁹ = 216317 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 216797 and 216806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (216859) 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 as a sum of consecutive naturals, namely, 108414 + 108415.

It is an arithmetic number, because the mean of its divisors is an integer number (108415).

2²¹⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

216829 is a deficient number, since it is larger than the sum of its proper divisors (1).

216829 is an equidigital number, since it uses as much as digits as its factorization.

216829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 216829 is about 465.6490094481. The cubic root of 216829 is about 60.0766612684.

It can be divided in two parts, 2168 and 29, that added together give a cube (2197 = 13³).

The spelling of 216829 in words is "two hundred sixteen thousand, eight hundred twenty-nine".