288541 has 8 divisors (see below), whose sum is σ = 333504. Its totient is φ = 246720.

The previous prime is 288539. The next prime is 288551. The reversal of 288541 is 145882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288541 - 2¹ = 288539 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 958.

It is an arithmetic number, because the mean of its divisors is an integer number (41688).

2²⁸⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

288541 is a deficient number, since it is larger than the sum of its proper divisors (44963).

288541 is a wasteful number, since it uses less digits than its factorization.

288541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571.

The product of its digits is 2560, while the sum is 28.

The square root of 288541 is about 537.1601251024. The cubic root of 288541 is about 66.0798696371.

It can be divided in two parts, 2885 and 41, that added together give a triangular number (2926 = T₇₆).

The spelling of 288541 in words is "two hundred eighty-eight thousand, five hundred forty-one".