82830 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 20000.

The previous prime is 82813. The next prime is 82837. The reversal of 82830 is 3828.

It is a junction number, because it is equal to n+sod(n) for n = 82797 and 82806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁸²⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

82830 is an abundant number, since it is smaller than the sum of its proper divisors (134898).

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

82830 is a wasteful number, since it uses less digits than its factorization.

82830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82830 is about 287.8020152813. The cubic root of 82830 is about 43.5909051534.

It can be divided in two parts, 828 and 30, that added together give a palindrome (858).

The spelling of 82830 in words is "eighty-two thousand, eight hundred thirty".