16289 has 8 divisors (see below), whose sum is σ = 20160. Its totient is φ = 12816.

The previous prime is 16273. The next prime is 16301. The reversal of 16289 is 98261.

16289 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16289 - 2⁴ = 16273 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 7 and base 13.

It is not an unprimeable number, because it can be changed into a prime (16229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2¹⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

16289 is a deficient number, since it is larger than the sum of its proper divisors (3871).

16289 is a wasteful number, since it uses less digits than its factorization.

16289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 864, while the sum is 26.

The square root of 16289 is about 127.6283667529. The cubic root of 16289 is about 25.3492320946.

It can be divided in two parts, 16 and 289, that multiplied together give a square (4624 = 68²).

The spelling of 16289 in words is "sixteen thousand, two hundred eighty-nine".