288121 has 4 divisors (see below), whose sum is σ = 300672. Its totient is φ = 275572.

The previous prime is 288109. The next prime is 288137. The reversal of 288121 is 121882.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 288121 - 2⁵ = 288089 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288092 and 288101.

It is not an unprimeable number, because it can be changed into a prime (288181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6241 + ... + 6286.

It is an arithmetic number, because the mean of its divisors is an integer number (75168).

2²⁸⁸¹²¹ is an apocalyptic number.

It is an amenable number.

288121 is a deficient number, since it is larger than the sum of its proper divisors (12551).

288121 is a wasteful number, since it uses less digits than its factorization.

288121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12550.

The product of its digits is 256, while the sum is 22.

The square root of 288121 is about 536.7690378552. The cubic root of 288121 is about 66.0477921366.

The spelling of 288121 in words is "two hundred eighty-eight thousand, one hundred twenty-one".