213689 has 10 divisors (see below), whose sum is σ = 252090. Its totient is φ = 181104.

The previous prime is 213659. The next prime is 213713. The reversal of 213689 is 986312.

213689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 60025 = 392^2 + 245^2 .

It is not a de Polignac number, because 213689 - 2¹⁶ = 148153 is a prime.

It is a Duffinian number.

Its product of digits (2592) is a multiple of the sum of its prime divisors (96).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213649) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2357 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (25209).

2²¹³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

213689 is a deficient number, since it is larger than the sum of its proper divisors (38401).

213689 is an frugal number, since it uses more digits than its factorization.

213689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 213689 is about 462.2650754708. The cubic root of 213689 is about 59.7852508153.

The spelling of 213689 in words is "two hundred thirteen thousand, six hundred eighty-nine".