27924 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 8544.

The previous prime is 27919. The next prime is 27941. The reversal of 27924 is 42972.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 27894 and 27903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2²⁷⁹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

27924 is an abundant number, since it is smaller than the sum of its proper divisors (42636).

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

27924 is a wasteful number, since it uses less digits than its factorization.

27924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 27924 is about 167.1047575624. The cubic root of 27924 is about 30.3383909236.

It can be divided in two parts, 279 and 24, that added together give a palindrome (303).

The spelling of 27924 in words is "twenty-seven thousand, nine hundred twenty-four".