24984 has 24 divisors (see below), whose sum is σ = 67860. Its totient is φ = 8304.

The previous prime is 24979. The next prime is 24989. The reversal of 24984 is 48942.

24984 = T₇₅ + T₇₆ + ... + T₈₂.

It is an interprime number because it is at equal distance from previous prime (24979) and next prime (24989).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24989) 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, 102 + ... + 245.

2²⁴⁹⁸⁴ is an apocalyptic number.

24984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24984 is an abundant number, since it is smaller than the sum of its proper divisors (42876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24984 is a wasteful number, since it uses less digits than its factorization.

24984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 24984 is about 158.0632784678. The cubic root of 24984 is about 29.2339381464.

It can be divided in two parts, 249 and 84, that added together give a palindrome (333).

The spelling of 24984 in words is "twenty-four thousand, nine hundred eighty-four".