82398 has 16 divisors (see below), whose sum is σ = 170496. Its totient is φ = 26520.

The previous prime is 82393. The next prime is 82421. The reversal of 82398 is 89328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82393) by changing a digit.

82398 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 in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (10656).

2⁸²³⁹⁸ is an apocalyptic number.

82398 is an abundant number, since it is smaller than the sum of its proper divisors (88098).

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 (85248).

82398 is a wasteful number, since it uses less digits than its factorization.

82398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its digits is 3456, while the sum is 30.

The square root of 82398 is about 287.0505182019. The cubic root of 82398 is about 43.5149902096.

Adding to 82398 its sum of digits (30), we get a palindrome (82428).

The spelling of 82398 in words is "eighty-two thousand, three hundred ninety-eight".