24381 has 20 divisors (see below), whose sum is σ = 42592. Its totient is φ = 13608.

The previous prime is 24379. The next prime is 24391. The reversal of 24381 is 18342.

It is a happy number.

24381 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 24381 - 2¹ = 24379 is a prime.

It is a super-2 number, since 2×24381² = 1188866322, which contains 22 as substring.

It is a Duffinian number.

24381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 546 + ... + 588.

2²⁴³⁸¹ is an apocalyptic number.

24381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24381 is a deficient number, since it is larger than the sum of its proper divisors (18211).

24381 is an equidigital number, since it uses as much as digits as its factorization.

24381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 24381 is about 156.1441641561. The cubic root of 24381 is about 28.9968288249.

It can be divided in two parts, 243 and 81, that multiplied together give a 9-th power (19683 = 3⁹).

The spelling of 24381 in words is "twenty-four thousand, three hundred eighty-one".