82385 has 4 divisors (see below), whose sum is σ = 98868. Its totient is φ = 65904.

The previous prime is 82373. The next prime is 82387. The reversal of 82385 is 58328.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28561 + 53824 = 169^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 82385 - 2⁸ = 82129 is a prime.

It is a Duffinian 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 (82387) 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 3 ways as a sum of consecutive naturals, for example, 8234 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (24717).

2⁸²³⁸⁵ is an apocalyptic number.

It is an amenable number.

82385 is a deficient number, since it is larger than the sum of its proper divisors (16483).

82385 is a wasteful number, since it uses less digits than its factorization.

82385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16482.

The product of its digits is 1920, while the sum is 26.

The square root of 82385 is about 287.0278732109. The cubic root of 82385 is about 43.5127016240.

The spelling of 82385 in words is "eighty-two thousand, three hundred eighty-five".