288369 has 9 divisors (see below), whose sum is σ = 418873. Its totient is φ = 191172.

The previous prime is 288361. The next prime is 288383. The reversal of 288369 is 963882.

The square root of 288369 is 537.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 288369 - 2³ = 288361 is a prime.

It is a super-2 number, since 2×288369² = 166313360322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288369.

It is not an unprimeable number, because it can be changed into a prime (288361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1522 + ... + 1700.

288369 is a Friedman number, since it can be written as (9+8*6*(8+3))^2, using all its digits and the basic arithmetic operations.

2²⁸⁸³⁶⁹ is an apocalyptic number.

288369 is the 537-th square number.

288369 is the 269-th centered octagonal number.

It is an amenable number.

288369 is a deficient number, since it is larger than the sum of its proper divisors (130504).

288369 is an equidigital number, since it uses as much as digits as its factorization.

288369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 288369 is about 66.0667369029.

Multiplying 288369 by its sum of digits (36), we get a square (10381284 = 3222²).

Multiplying 288369 by its product of digits (20736), we get a square (5979619584 = 77328²).

The spelling of 288369 in words is "two hundred eighty-eight thousand, three hundred sixty-nine".