82705 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 52992.

The previous prime is 82699. The next prime is 82721. The reversal of 82705 is 50728.

It is a cyclic number.

It is not a de Polignac number, because 82705 - 2⁹ = 82193 is a prime.

82705 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526 + ... + 664.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸²⁷⁰⁵ is an apocalyptic number.

82705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82705 is a deficient number, since it is larger than the sum of its proper divisors (38255).

82705 is a wasteful number, since it uses less digits than its factorization.

82705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 82705 is about 287.5847701114. The cubic root of 82705 is about 43.5689662165.

It can be divided in two parts, 82 and 705, that added together give a palindrome (787).

The spelling of 82705 in words is "eighty-two thousand, seven hundred five".