24789 has 4 divisors (see below), whose sum is σ = 33056. Its totient is φ = 16524.

The previous prime is 24781. The next prime is 24793. The reversal of 24789 is 98742.

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 not a de Polignac number, because 24789 - 2³ = 24781 is a prime.

It is a super-2 number, since 2×24789² = 1228989042, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

24789 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4129 + ... + 4134.

It is an arithmetic number, because the mean of its divisors is an integer number (8264).

2²⁴⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

24789 is a deficient number, since it is larger than the sum of its proper divisors (8267).

24789 is an equidigital number, since it uses as much as digits as its factorization.

24789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266.

The product of its digits is 4032, while the sum is 30.

The square root of 24789 is about 157.4452285717. The cubic root of 24789 is about 29.1576824937.

The spelling of 24789 in words is "twenty-four thousand, seven hundred eighty-nine".