82848 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 27584.

The previous prime is 82847. The next prime is 82883. The reversal of 82848 is 84828.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×82848² = 13727582208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁸²⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

82848 is an abundant number, since it is smaller than the sum of its proper divisors (134880).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

82848 is a wasteful number, since it uses less digits than its factorization.

82848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 82848 is about 287.8332850801. The cubic root of 82848 is about 43.5940625419.

The spelling of 82848 in words is "eighty-two thousand, eight hundred forty-eight".