128289 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 71040.

The previous prime is 128287. The next prime is 128291. The reversal of 128289 is 982821.

It is an interprime number because it is at equal distance from previous prime (128287) and next prime (128291).

It is not a de Polignac number, because 128289 - 2¹ = 128287 is a prime.

It is an Ulam number.

It is a Curzon number.

128289 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (128287) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

128289 is a deficient number, since it is larger than the sum of its proper divisors (73311).

128289 is a wasteful number, since it uses less digits than its factorization.

128289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its digits is 2304, while the sum is 30.

The square root of 128289 is about 358.1745384586. The cubic root of 128289 is about 50.4347423594.

The spelling of 128289 in words is "one hundred twenty-eight thousand, two hundred eighty-nine".