82350 has 48 divisors (see below), whose sum is σ = 230640. Its totient is φ = 21600.

The previous prime is 82349. The next prime is 82351. The reversal of 82350 is 5328.

82350 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (82349) and next prime (82351).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (4805).

2⁸²³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320).

82350 is an abundant number, since it is smaller than the sum of its proper divisors (148290).

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

82350 is a wasteful number, since it uses less digits than its factorization.

82350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 82350 is about 286.9668970456. The cubic root of 82350 is about 43.5065388506.

Adding to 82350 its reverse (5328), we get a palindrome (87678).

The spelling of 82350 in words is "eighty-two thousand, three hundred fifty".