82785 has 8 divisors (see below), whose sum is σ = 132480. Its totient is φ = 44144.

The previous prime is 82781. The next prime is 82787. The reversal of 82785 is 58728.

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 82785 - 2² = 82781 is a prime.

82785 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82781) 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, 2745 + ... + 2774.

It is an arithmetic number, because the mean of its divisors is an integer number (16560).

2⁸²⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

82785 is a deficient number, since it is larger than the sum of its proper divisors (49695).

82785 is a wasteful number, since it uses less digits than its factorization.

82785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527.

The product of its digits is 4480, while the sum is 30.

The square root of 82785 is about 287.7238259165. The cubic root of 82785 is about 43.5830096805.

The spelling of 82785 in words is "eighty-two thousand, seven hundred eighty-five".