288968121 has 16 divisors (see below), whose sum is σ = 461032320. Its totient is φ = 177826320.

The previous prime is 288968089. The next prime is 288968149. The reversal of 288968121 is 121869882.

It is a happy number.

It is not a de Polignac number, because 288968121 - 2⁵ = 288968089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288968621) 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, 411285 + ... + 411986.

It is an arithmetic number, because the mean of its divisors is an integer number (28814520).

Almost surely, 2^288968121 is an apocalyptic number.

It is an amenable number.

288968121 is a deficient number, since it is larger than the sum of its proper divisors (172064199).

288968121 is a wasteful number, since it uses less digits than its factorization.

288968121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823293 (or 823287 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 288968121 is about 16999.0623564948. The cubic root of 288968121 is about 661.1245909567.

The spelling of 288968121 in words is "two hundred eighty-eight million, nine hundred sixty-eight thousand, one hundred twenty-one".