24871 has 16 divisors (see below), whose sum is σ = 34560. Its totient is φ = 17280.

The previous prime is 24859. The next prime is 24877. The reversal of 24871 is 17842.

It is a 7-Lehmer number, since φ(24871) divides (24871-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 24871 - 2⁹ = 24359 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24877) 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 15 ways as a sum of consecutive naturals, for example, 1300 + ... + 1318.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²⁴⁸⁷¹ is an apocalyptic number.

24871 is a deficient number, since it is larger than the sum of its proper divisors (9689).

24871 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 24871 = (12487)₁₂.

24871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54.

The product of its digits is 448, while the sum is 22.

The square root of 24871 is about 157.7054215936. The cubic root of 24871 is about 29.1897975241.

The spelling of 24871 in words is "twenty-four thousand, eight hundred seventy-one".