82548 has 18 divisors (see below), whose sum is σ = 208754. Its totient is φ = 27504.

The previous prime is 82531. The next prime is 82549. The reversal of 82548 is 84528.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 19044 = 252^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82549) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1111 + ... + 1182.

2⁸²⁵⁴⁸ is an apocalyptic number.

It is an amenable number.

82548 is an abundant number, since it is smaller than the sum of its proper divisors (126206).

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

82548 is a wasteful number, since it uses less digits than its factorization.

82548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2298 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 82548 is about 287.3116774515. The cubic root of 82548 is about 43.5413795707.

It can be divided in two parts, 82 and 548, that added together give a triangular number (630 = T₃₅).

The spelling of 82548 in words is "eighty-two thousand, five hundred forty-eight".