24809 has 2 divisors, whose sum is σ = 24810. Its totient is φ = 24808.

The previous prime is 24799. The next prime is 24821. The reversal of 24809 is 90842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 784 = 155^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 24809 - 2⁴ = 24793 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 24809.

It is not a weakly prime, because it can be changed into another prime (24859) 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 as a sum of consecutive naturals, namely, 12404 + 12405.

It is an arithmetic number, because the mean of its divisors is an integer number (12405).

2²⁴⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

24809 is a deficient number, since it is larger than the sum of its proper divisors (1).

24809 is an equidigital number, since it uses as much as digits as its factorization.

24809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 24809 is about 157.5087299168. The cubic root of 24809 is about 29.1655219505.

The spelling of 24809 in words is "twenty-four thousand, eight hundred nine".