24724 has 12 divisors (see below), whose sum is σ = 49504. Its totient is φ = 10584.

The previous prime is 24709. The next prime is 24733. The reversal of 24724 is 42742.

24724 is nontrivially palindromic in base 3 and base 13.

24724 is an admirable number.

It is a super-2 number, since 2×24724² = 1222552352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 414 + ... + 469.

2²⁴⁷²⁴ is an apocalyptic number.

It is an amenable number.

24724 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24752).

24724 is a wasteful number, since it uses less digits than its factorization.

24724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

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

The square root of 24724 is about 157.2386720880. The cubic root of 24724 is about 29.1321751005.

The spelling of 24724 in words is "twenty-four thousand, seven hundred twenty-four", and thus it is an iban number.