289328125 has 14 divisors (see below), whose sum is σ = 361675058. Its totient is φ = 231450000.

The previous prime is 289328111. The next prime is 289328129. The reversal of 289328125 is 521823982.

It can be written as a sum of positive squares in 7 ways, for example, as 283147929 + 6180196 = 16827^2 + 2486^2 .

It is not a de Polignac number, because 289328125 - 2⁹ = 289327613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289328129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6367 + ... + 24883.

Almost surely, 2^289328125 is an apocalyptic number.

289328125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289328125 is a deficient number, since it is larger than the sum of its proper divisors (72346933).

289328125 is an frugal number, since it uses more digits than its factorization.

289328125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18547 (or 18522 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 289328125 is about 17009.6479975336. The cubic root of 289328125 is about 661.3990257584.

The spelling of 289328125 in words is "two hundred eighty-nine million, three hundred twenty-eight thousand, one hundred twenty-five".