216964 has 12 divisors (see below), whose sum is σ = 414288. Its totient is φ = 98600.

The previous prime is 216947. The next prime is 216967. The reversal of 216964 is 469612.

216964 is nontrivially palindromic in base 15.

216964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

216964 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (216967) by changing a digit.

216964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2422 + ... + 2509.

It is an arithmetic number, because the mean of its divisors is an integer number (34524).

2²¹⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

216964 is a deficient number, since it is larger than the sum of its proper divisors (197324).

216964 is a wasteful number, since it uses less digits than its factorization.

216964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4944 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 216964 is about 465.7939458602. The cubic root of 216964 is about 60.0891268006.

The spelling of 216964 in words is "two hundred sixteen thousand, nine hundred sixty-four".