288641 has 4 divisors (see below), whose sum is σ = 297984. Its totient is φ = 279300.

The previous prime is 288583. The next prime is 288647. The reversal of 288641 is 146882.

288641 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 288641 - 2⁶ = 288577 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 8⁴ + 6⁷ + 8⁴ + 4⁴ + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4625 + ... + 4686.

It is an arithmetic number, because the mean of its divisors is an integer number (74496).

2²⁸⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

288641 is a deficient number, since it is larger than the sum of its proper divisors (9343).

288641 is an equidigital number, since it uses as much as digits as its factorization.

288641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342.

The product of its digits is 3072, while the sum is 29.

The square root of 288641 is about 537.2531991529. The cubic root of 288641 is about 66.0875025485.

It can be divided in two parts, 288 and 641, that added together give a palindrome (929).

The spelling of 288641 in words is "two hundred eighty-eight thousand, six hundred forty-one".