212289 has 16 divisors (see below), whose sum is σ = 353280. Its totient is φ = 110160.

The previous prime is 212281. The next prime is 212293. The reversal of 212289 is 982212.

212289 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212289 - 2³ = 212281 is a prime.

212289 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (212281) 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, 229 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (22080).

2²¹²²⁸⁹ is an apocalyptic number.

It is an amenable number.

212289 is a deficient number, since it is larger than the sum of its proper divisors (140991).

212289 is a wasteful number, since it uses less digits than its factorization.

212289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940.

The product of its digits is 576, while the sum is 24.

The square root of 212289 is about 460.7483043919. The cubic root of 212289 is about 59.6544020788.

It can be divided in two parts, 2122 and 89, that added together give a triangular number (2211 = T₆₆).

The spelling of 212289 in words is "two hundred twelve thousand, two hundred eighty-nine".