24601 has 4 divisors (see below), whose sum is σ = 25012. Its totient is φ = 24192.

The previous prime is 24593. The next prime is 24611. The reversal of 24601 is 10642.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10201 + 14400 = 101^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 24601 - 2³ = 24593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24611) 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 in 3 ways as a sum of consecutive naturals, for example, 96 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (6253).

It is a 60-hyperperfect number.

2²⁴⁶⁰¹ is an apocalyptic number.

It is an amenable number.

24601 is a deficient number, since it is larger than the sum of its proper divisors (411).

24601 is an equidigital number, since it uses as much as digits as its factorization.

24601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 24601 is about 156.8470592648. The cubic root of 24601 is about 29.0837846545.

Adding to 24601 its product of nonzero digits (48), we get a square (24649 = 157²).

It can be divided in two parts, 24 and 601, that added together give a 4-th power (625 = 5⁴).

The spelling of 24601 in words is "twenty-four thousand, six hundred one".