24542 has 8 divisors (see below), whose sum is σ = 42096. Its totient is φ = 10512.

The previous prime is 24533. The next prime is 24547.

24542 is nontrivially palindromic in base 10 and base 13.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 24542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 863 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (5262).

2²⁴⁵⁴² is an apocalyptic number.

24542 is a deficient number, since it is larger than the sum of its proper divisors (17554).

24542 is a wasteful number, since it uses less digits than its factorization.

24542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762.

The product of its digits is 320, while the sum is 17.

The square root of 24542 is about 156.6588650540. The cubic root of 24542 is about 29.0605157238.

The spelling of 24542 in words is "twenty-four thousand, five hundred forty-two".