24742 has 8 divisors (see below), whose sum is σ = 37800. Its totient is φ = 12144.

The previous prime is 24733. The next prime is 24749.

24742 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×24742² = 1224333128, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24749) by changing a digit.

24742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2²⁴⁷⁴² is an apocalyptic number.

24742 is a deficient number, since it is larger than the sum of its proper divisors (13058).

24742 is a wasteful number, since it uses less digits than its factorization.

24742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its digits is 448, while the sum is 19.

The square root of 24742 is about 157.2958995015. The cubic root of 24742 is about 29.1392431578.

It can be divided in two parts, 247 and 42, that added together give a square (289 = 17²).

The spelling of 24742 in words is "twenty-four thousand, seven hundred forty-two", and thus it is an iban number.