216729 has 16 divisors (see below), whose sum is σ = 336000. Its totient is φ = 137808.

The previous prime is 216719. The next prime is 216731. The reversal of 216729 is 927612.

It is not a de Polignac number, because 216729 - 2⁹ = 216217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

216729 is a modest number, since divided by 729 gives 216 as remainder.

216729 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2²¹⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

216729 is a deficient number, since it is larger than the sum of its proper divisors (119271).

216729 is a wasteful number, since it uses less digits than its factorization.

216729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 216729 is about 465.5416200513. The cubic root of 216729 is about 60.0674242046.

It can be divided in two parts, 216 and 729, that multiplied together give a cube (157464 = 54³).

The spelling of 216729 in words is "two hundred sixteen thousand, seven hundred twenty-nine".