82448 has 10 divisors (see below), whose sum is σ = 159774. Its totient is φ = 41216.

The previous prime is 82421. The next prime is 82457. The reversal of 82448 is 84428.

82448 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 8464 = 272^2 + 92^2 .

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 + 2⁹ + 4⁷ + 4⁸ + 8 .

It is an unprimeable number.

82448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2561 + ... + 2592.

2⁸²⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

82448 is a deficient number, since it is larger than the sum of its proper divisors (77326).

82448 is a wasteful number, since it uses less digits than its factorization.

82448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5155 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 82448 is about 287.1375976775. The cubic root of 82448 is about 43.5237902192.

The spelling of 82448 in words is "eighty-two thousand, four hundred forty-eight".