24709 has 2 divisors, whose sum is σ = 24710. Its totient is φ = 24708.

The previous prime is 24697. The next prime is 24733. The reversal of 24709 is 90742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 2209 = 150^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 24709 - 2⁵ = 24677 is a prime.

It is a super-2 number, since 2×24709² = 1221069362, which contains 22 as substring.

It is a Chen prime.

24709 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 24709.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24749) by changing a digit.

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 as a sum of consecutive naturals, namely, 12354 + 12355.

It is an arithmetic number, because the mean of its divisors is an integer number (12355).

2²⁴⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

24709 is a deficient number, since it is larger than the sum of its proper divisors (1).

24709 is an equidigital number, since it uses as much as digits as its factorization.

24709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 24709 is about 157.1909666616. The cubic root of 24709 is about 29.1262824317.

The spelling of 24709 in words is "twenty-four thousand, seven hundred nine".