82401 has 12 divisors (see below), whose sum is σ = 121296. Its totient is φ = 49720.

The previous prime is 82393. The next prime is 82421. The reversal of 82401 is 10428.

It is not a de Polignac number, because 82401 - 2³ = 82393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82421) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (10108).

2⁸²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

82401 is a deficient number, since it is larger than the sum of its proper divisors (38895).

82401 is a wasteful number, since it uses less digits than its factorization.

82401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82401 is about 287.0557437154. The cubic root of 82401 is about 43.5155183106.

Adding to 82401 its reverse (10428), we get a palindrome (92829).

The spelling of 82401 in words is "eighty-two thousand, four hundred one".