82048 has 16 divisors (see below), whose sum is σ = 163710. Its totient is φ = 40960.

The previous prime is 82039. The next prime is 82051. The reversal of 82048 is 84028.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 28224 = 232^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a d-powerful number, because it can be written as 8² + 2¹⁶ + 0 + 4⁷ + 8² .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193 + ... + 448.

2⁸²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

82048 is a deficient number, since it is larger than the sum of its proper divisors (81662).

82048 is an equidigital number, since it uses as much as digits as its factorization.

82048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82048 is about 286.4402206395. The cubic root of 82048 is about 43.4532902412.

It can be divided in two parts, 820 and 48, that added together give a palindrome (868).

The spelling of 82048 in words is "eighty-two thousand, forty-eight".