24745 has 12 divisors (see below), whose sum is σ = 34884. Its totient is φ = 16800.

The previous prime is 24733. The next prime is 24749. The reversal of 24745 is 54742.

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 7056 = 133^2 + 84^2 .

It is not a de Polignac number, because 24745 - 2¹¹ = 22697 is a prime.

It is a super-2 number, since 2×24745² = 1224630050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (2907).

2²⁴⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

24745 is a deficient number, since it is larger than the sum of its proper divisors (10139).

24745 is a wasteful number, since it uses less digits than its factorization.

24745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 24745 is about 157.3054353797. The cubic root of 24745 is about 29.1404208340.

It can be divided in two parts, 247 and 45, that added together give a palindrome (292).

The spelling of 24745 in words is "twenty-four thousand, seven hundred forty-five".