82345 has 8 divisors (see below), whose sum is σ = 101376. Its totient is φ = 64176.

The previous prime is 82339. The next prime is 82349. The reversal of 82345 is 54328.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82345 - 2⁷ = 82217 is a prime.

It is a Duffinian number.

82345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82349) 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 7 ways as a sum of consecutive naturals, for example, 24 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (12672).

2⁸²³⁴⁵ is an apocalyptic number.

It is an amenable number.

82345 is a deficient number, since it is larger than the sum of its proper divisors (19031).

82345 is a wasteful number, since it uses less digits than its factorization.

82345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 960, while the sum is 22.

The square root of 82345 is about 286.9581851072. The cubic root of 82345 is about 43.5056583118.

It can be divided in two parts, 823 and 45, that added together give a palindrome (868).

The spelling of 82345 in words is "eighty-two thousand, three hundred forty-five".