24389 has 4 divisors (see below), whose sum is σ = 25260. Its totient is φ = 23548.

The previous prime is 24379. The next prime is 24391. The reversal of 24389 is 98342.

The cubic root of 24389 is 29.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4225 + 20164 = 65^2 + 142^2 .

It is not a de Polignac number, because 24389 - 2⁴ = 24373 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24329) 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, 827 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (6315).

24389 is a Friedman number, since it can be written as (9+4+8*2)^3, using all its digits and the basic arithmetic operations.

2²⁴³⁸⁹ is an apocalyptic number.

24389 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

24389 is a deficient number, since it is larger than the sum of its proper divisors (871).

24389 is an frugal number, since it uses more digits than its factorization.

24389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 24389 is about 156.1697794069.

Multiplying 24389 by its product of digits (1728), we get a cube (42144192 = 348³).

It can be divided in two parts, 2 and 4389, that multiplied together give a palindrome (8778).

The spelling of 24389 in words is "twenty-four thousand, three hundred eighty-nine".