288522 has 40 divisors (see below), whose sum is σ = 701316. Its totient is φ = 88128.

The previous prime is 288499. The next prime is 288527. The reversal of 288522 is 225882.

288522 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 281961 + 6561 = 531^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (288527) by changing a digit.

288522 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 19 ways as a sum of consecutive naturals, for example, 2038 + ... + 2174.

2²⁸⁸⁵²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350658).

288522 is an abundant number, since it is smaller than the sum of its proper divisors (412794).

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

288522 is a wasteful number, since it uses less digits than its factorization.

288522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 288522 is about 537.1424392096. The cubic root of 288522 is about 66.0784191845.

The spelling of 288522 in words is "two hundred eighty-eight thousand, five hundred twenty-two".