288535 has 16 divisors (see below), whose sum is σ = 391104. Its totient is φ = 202752.

The previous prime is 288529. The next prime is 288539. The reversal of 288535 is 535882.

288535 = 18² + 19² + ... + 95².

288535 is nontrivially palindromic in base 7.

It is a cyclic number.

It is not a de Polignac number, because 288535 - 2³ = 288527 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288497 and 288506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288539) 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, 1399 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (24444).

2²⁸⁸⁵³⁵ is an apocalyptic number.

288535 is a deficient number, since it is larger than the sum of its proper divisors (102569).

288535 is a wasteful number, since it uses less digits than its factorization.

288535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234.

The product of its digits is 9600, while the sum is 31.

The square root of 288535 is about 537.1545401465. The cubic root of 288535 is about 66.0794116063.

The spelling of 288535 in words is "two hundred eighty-eight thousand, five hundred thirty-five".