289129 has 2 divisors, whose sum is σ = 289130. Its totient is φ = 289128.

The previous prime is 289127. The next prime is 289139. The reversal of 289129 is 921982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225625 + 63504 = 475^2 + 252^2 .

It is a cyclic number.

It is not a de Polignac number, because 289129 - 2¹ = 289127 is a prime.

Together with 289127, it forms a pair of twin primes.

It is a Chen prime.

289129 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 289129.

It is not a weakly prime, because it can be changed into another prime (289127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144564 + 144565.

It is an arithmetic number, because the mean of its divisors is an integer number (144565).

2²⁸⁹¹²⁹ is an apocalyptic number.

It is an amenable number.

289129 is a deficient number, since it is larger than the sum of its proper divisors (1).

289129 is an equidigital number, since it uses as much as digits as its factorization.

289129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 31.

The square root of 289129 is about 537.7071693775. The cubic root of 289129 is about 66.1247258849.

The spelling of 289129 in words is "two hundred eighty-nine thousand, one hundred twenty-nine".