288873 has 16 divisors (see below), whose sum is σ = 461440. Its totient is φ = 177552.

The previous prime is 288853. The next prime is 288877. The reversal of 288873 is 378882.

It is not a de Polignac number, because 288873 - 2⁹ = 288361 is a prime.

It is a super-2 number, since 2×288873² = 166895220258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288877) 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, 61 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (28840).

2²⁸⁸⁸⁷³ is an apocalyptic number.

It is an amenable number.

288873 is a deficient number, since it is larger than the sum of its proper divisors (172567).

288873 is a wasteful number, since it uses less digits than its factorization.

288873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 288873 is about 537.4690688775. The cubic root of 288873 is about 66.1052041162.

Subtracting 288873 from its reverse (378882), we obtain a palindrome (90009).

The spelling of 288873 in words is "two hundred eighty-eight thousand, eight hundred seventy-three".