24661 has 8 divisors (see below), whose sum is σ = 30464. Its totient is φ = 19440.

The previous prime is 24659. The next prime is 24671. The reversal of 24661 is 16642.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(24661) divides (24661-1)³.

It is a cyclic number.

It is not a de Polignac number, because 24661 - 2¹ = 24659 is a prime.

It is a deceptive number, since it divides R₂₄₆₆₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 226.

It is an arithmetic number, because the mean of its divisors is an integer number (3808).

2²⁴⁶⁶¹ is an apocalyptic number.

24661 is the 91-st octagonal number.

It is an amenable number.

24661 is a deficient number, since it is larger than the sum of its proper divisors (5803).

24661 is a wasteful number, since it uses less digits than its factorization.

24661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its digits is 288, while the sum is 19.

The square root of 24661 is about 157.0382119104. The cubic root of 24661 is about 29.1074098504.

Subtracting from 24661 its sum of digits (19), we obtain a palindrome (24642).

The spelling of 24661 in words is "twenty-four thousand, six hundred sixty-one".