216733 has 16 divisors (see below), whose sum is σ = 267840. Its totient is φ = 172800.

The previous prime is 216731. The next prime is 216743. The reversal of 216733 is 337612.

It is a cyclic number.

It is not a de Polignac number, because 216733 - 2¹ = 216731 is a prime.

It is a Duffinian number.

Its product of digits (756) is a multiple of the sum of its prime divisors (108).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523 + ... + 3583.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

216733 is a Friedman number, since it can be written as 671*323, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 323 ⋅ 671 (with its own digits).

2²¹⁶⁷³³ is an apocalyptic number.

It is an amenable number.

216733 is a deficient number, since it is larger than the sum of its proper divisors (51107).

216733 is a wasteful number, since it uses less digits than its factorization.

216733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its digits is 756, while the sum is 22.

The square root of 216733 is about 465.5459161028. The cubic root of 216733 is about 60.0677937417.

It can be divided in two parts, 216 and 733, that added together give a palindrome (949).

The spelling of 216733 in words is "two hundred sixteen thousand, seven hundred thirty-three".