24741 has 6 divisors (see below), whose sum is σ = 35750. Its totient is φ = 16488.

The previous prime is 24733. The next prime is 24749. The reversal of 24741 is 14742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24733) and next prime (24749).

It can be written as a sum of positive squares in only one way, i.e., 16641 + 8100 = 129^2 + 90^2 .

It is not a de Polignac number, because 24741 - 2³ = 24733 is a prime.

It is a super-2 number, since 2×24741² = 1224234162, which contains 22 as substring.

It is a Duffinian number.

24741 is a lucky number.

It is a plaindrome in base 12.

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 5 ways as a sum of consecutive naturals, for example, 1366 + ... + 1383.

2²⁴⁷⁴¹ is an apocalyptic number.

It is an amenable number.

24741 is a deficient number, since it is larger than the sum of its proper divisors (11009).

24741 is a wasteful number, since it uses less digits than its factorization.

24741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 24741 is about 157.2927207470. The cubic root of 24741 is about 29.1388505779.

Subtracting from 24741 its reverse (14742), we obtain a palindrome (9999).

The spelling of 24741 in words is "twenty-four thousand, seven hundred forty-one", and thus it is an iban number.