27248 has 20 divisors (see below), whose sum is σ = 57288. Its totient is φ = 12480.

The previous prime is 27241. The next prime is 27253. The reversal of 27248 is 84272.

27248 is nontrivially palindromic in base 15.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27241) by changing a digit.

27248 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 143 + ... + 273.

2²⁷²⁴⁸ 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 27248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28644).

27248 is an abundant number, since it is smaller than the sum of its proper divisors (30040).

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

27248 is a wasteful number, since it uses less digits than its factorization.

27248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 27248 is about 165.0696822557. The cubic root of 27248 is about 30.0915720528.

Subtracting from 27248 its sum of digits (23), we obtain a square (27225 = 165²).

The spelling of 27248 in words is "twenty-seven thousand, two hundred forty-eight".