82408 has 8 divisors (see below), whose sum is σ = 154530. Its totient is φ = 41200.

The previous prime is 82393. The next prime is 82421. The reversal of 82408 is 80428.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 33124 = 222^2 + 182^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

82408 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5143 + ... + 5158.

2⁸²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

82408 is a deficient number, since it is larger than the sum of its proper divisors (72122).

82408 is a wasteful number, since it uses less digits than its factorization.

82408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10303 counting only the distinct ones).

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

The square root of 82408 is about 287.0679362102. The cubic root of 82408 is about 43.5167504963.

The spelling of 82408 in words is "eighty-two thousand, four hundred eight".