24729 has 4 divisors (see below), whose sum is σ = 32976. Its totient is φ = 16484.

The previous prime is 24709. The next prime is 24733. The reversal of 24729 is 92742.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 24729 - 2⁵ = 24697 is a prime.

It is a super-2 number, since 2×24729² = 1223046882, which contains 22 as substring.

It is a D-number.

It is a Curzon number.

24729 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 24699 and 24708.

It is not an unprimeable number, because it can be changed into a prime (24709) 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, 4119 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (8244).

2²⁴⁷²⁹ is an apocalyptic number.

It is an amenable number.

24729 is a deficient number, since it is larger than the sum of its proper divisors (8247).

24729 is an equidigital number, since it uses as much as digits as its factorization.

24729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246.

The product of its digits is 1008, while the sum is 24.

The square root of 24729 is about 157.2545706808. The cubic root of 24729 is about 29.1341387937.

Adding to 24729 its sum of digits (24), we get a triangular number (24753 = T₂₂₂).

It can be divided in two parts, 247 and 29, that added together give a triangular number (276 = T₂₃).

The spelling of 24729 in words is "twenty-four thousand, seven hundred twenty-nine".