24961 has 4 divisors (see below), whose sum is σ = 25300. Its totient is φ = 24624.

The previous prime is 24953. The next prime is 24967. The reversal of 24961 is 16942.

It is the 65-th star number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 4225 = 144^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 24961 - 2³ = 24953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24967) 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, 6 + ... + 223.

It is an arithmetic number, because the mean of its divisors is an integer number (6325).

2²⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

24961 is a deficient number, since it is larger than the sum of its proper divisors (339).

24961 is a wasteful number, since it uses less digits than its factorization.

24961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its digits is 432, while the sum is 22.

The square root of 24961 is about 157.9905060439. The cubic root of 24961 is about 29.2249645765.

The spelling of 24961 in words is "twenty-four thousand, nine hundred sixty-one".