27904 has 18 divisors (see below), whose sum is σ = 56210. Its totient is φ = 13824.

The previous prime is 27901. The next prime is 27917. The reversal of 27904 is 40972.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 2304 = 160^2 + 48^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27901) 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 as a sum of consecutive naturals, namely, 202 + ... + 310.

2²⁷⁹⁰⁴ 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 27904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28105).

27904 is an abundant number, since it is smaller than the sum of its proper divisors (28306).

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

27904 is an equidigital number, since it uses as much as digits as its factorization.

27904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 27904 is about 167.0449041426. The cubic root of 27904 is about 30.3311461075.

The spelling of 27904 in words is "twenty-seven thousand, nine hundred four".