82857 has 8 divisors (see below), whose sum is σ = 112320. Its totient is φ = 54320.

The previous prime is 82847. The next prime is 82883. The reversal of 82857 is 75828.

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 82857 - 2⁶ = 82793 is a prime.

82857 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2⁸²⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

82857 is a deficient number, since it is larger than the sum of its proper divisors (29463).

82857 is a wasteful number, since it uses less digits than its factorization.

82857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463.

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

The square root of 82857 is about 287.8489187056. The cubic root of 82857 is about 43.5956410647.

It can be divided in two parts, 82 and 857, that added together give a palindrome (939).

The spelling of 82857 in words is "eighty-two thousand, eight hundred fifty-seven".