24805 has 12 divisors (see below), whose sum is σ = 33516. Its totient is φ = 17600.

The previous prime is 24799. The next prime is 24809. The reversal of 24805 is 50842.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 20449 = 66^2 + 143^2 .

It is not a de Polignac number, because 24805 - 2⁷ = 24677 is a prime.

It is a Duffinian number.

24805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24809) 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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2²⁴⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

24805 is a deficient number, since it is larger than the sum of its proper divisors (8711).

24805 is a wasteful number, since it uses less digits than its factorization.

24805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 24805 is about 157.4960316960. The cubic root of 24805 is about 29.1639543963.

It can be divided in two parts, 2480 and 5, that added together give a triangular number (2485 = T₇₀).

The spelling of 24805 in words is "twenty-four thousand, eight hundred five".