288561 has 24 divisors (see below), whose sum is σ = 485184. Its totient is φ = 151200.

The previous prime is 288559. The next prime is 288571. The reversal of 288561 is 165882.

288561 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 288561 - 2¹ = 288559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (288551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (20216).

2²⁸⁸⁵⁶¹ is an apocalyptic number.

288561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288561 is a deficient number, since it is larger than the sum of its proper divisors (196623).

288561 is a wasteful number, since it uses less digits than its factorization.

288561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 288561 is about 537.1787412026. The cubic root of 288561 is about 66.0813963604.

The spelling of 288561 in words is "two hundred eighty-eight thousand, five hundred sixty-one".