82248 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 26048.

The previous prime is 82241. The next prime is 82261. The reversal of 82248 is 84228.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 8 + 2¹⁴ + 2¹⁶ + 4⁴ + 8² .

It is not an unprimeable number, because it can be changed into a prime (82241) by changing a digit.

82248 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁸²²⁴⁸ 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 82248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

82248 is an abundant number, since it is smaller than the sum of its proper divisors (133752).

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

82248 is a wasteful number, since it uses less digits than its factorization.

82248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 82248 is about 286.7891211326. The cubic root of 82248 is about 43.4885688024.

The spelling of 82248 in words is "eighty-two thousand, two hundred forty-eight".