82300 has 18 divisors (see below), whose sum is σ = 178808. Its totient is φ = 32880.

The previous prime is 82279. The next prime is 82301. The reversal of 82300 is 328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312 + ... + 511.

2⁸²³⁰⁰ is an apocalyptic number.

It is an amenable number.

82300 is an abundant number, since it is smaller than the sum of its proper divisors (96508).

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

82300 is a wasteful number, since it uses less digits than its factorization.

82300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 82300 is about 286.8797657556. The cubic root of 82300 is about 43.4977318587.

Adding to 82300 its reverse (328), we get a palindrome (82628).

The spelling of 82300 in words is "eighty-two thousand, three hundred".