24749 has 2 divisors, whose sum is σ = 24750. Its totient is φ = 24748.

The previous prime is 24733. The next prime is 24763. The reversal of 24749 is 94742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 100 = 157^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 24749 - 2⁴ = 24733 is a prime.

It is a super-2 number, since 2×24749² = 1225026002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12374 + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (12375).

2²⁴⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

24749 is a deficient number, since it is larger than the sum of its proper divisors (1).

24749 is an equidigital number, since it uses as much as digits as its factorization.

24749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 24749 is about 157.3181489848. The cubic root of 24749 is about 29.1419909210.

The spelling of 24749 in words is "twenty-four thousand, seven hundred forty-nine".