82845 has 24 divisors (see below), whose sum is σ = 164736. Its totient is φ = 37728.

The previous prime is 82837. The next prime is 82847. The reversal of 82845 is 54828.

It is not a de Polignac number, because 82845 - 2³ = 82837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82847) 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, 184 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (6864).

2⁸²⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

82845 is a deficient number, since it is larger than the sum of its proper divisors (81891).

82845 is a wasteful number, since it uses less digits than its factorization.

82845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 278 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 82845 is about 287.8280736829. The cubic root of 82845 is about 43.5935363423.

The spelling of 82845 in words is "eighty-two thousand, eight hundred forty-five".