24289 has 4 divisors (see below), whose sum is σ = 24624. Its totient is φ = 23956.

The previous prime is 24281. The next prime is 24317. The reversal of 24289 is 98242.

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, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 98242 = 2 ⋅49121.

It is a cyclic number.

It is not a de Polignac number, because 24289 - 2³ = 24281 is a prime.

It is a d-powerful number, because it can be written as 2¹⁰ + 4⁴ + 2¹⁴ + 8² + 9⁴ .

It is a Duffinian number.

24289 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (24281) 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, 7 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2²⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

24289 is a deficient number, since it is larger than the sum of its proper divisors (335).

24289 is a wasteful number, since it uses less digits than its factorization.

24289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its digits is 1152, while the sum is 25.

The square root of 24289 is about 155.8492861710. The cubic root of 24289 is about 28.9603103504.

It can be divided in two parts, 24 and 289, that added together give a palindrome (313).

The spelling of 24289 in words is "twenty-four thousand, two hundred eighty-nine".