288534 has 16 divisors (see below), whose sum is σ = 607680. Its totient is φ = 91080.

The previous prime is 288529. The next prime is 288539. The reversal of 288534 is 435882.

It is an interprime number because it is at equal distance from previous prime (288529) and next prime (288539).

It is a d-powerful number, because it can be written as 2¹⁴ + 8² + 5⁵ + 8⁶ + 3⁸ + 4⁴ .

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288534.

It is not an unprimeable number, because it can be changed into a prime (288539) by changing a digit.

288534 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (37980).

2²⁸⁸⁵³⁴ is an apocalyptic number.

288534 is an abundant number, since it is smaller than the sum of its proper divisors (319146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288534 is a wasteful number, since it uses less digits than its factorization.

288534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555.

The product of its digits is 7680, while the sum is 30.

The square root of 288534 is about 537.1536093149. The cubic root of 288534 is about 66.0793352672.

The spelling of 288534 in words is "two hundred eighty-eight thousand, five hundred thirty-four".