82867 has 4 divisors (see below), whose sum is σ = 83520. Its totient is φ = 82216.

The previous prime is 82847. The next prime is 82883. The reversal of 82867 is 76828.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82867 - 2¹¹ = 80819 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian 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 3 ways as a sum of consecutive naturals, for example, 67 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (20880).

2⁸²⁸⁶⁷ is an apocalyptic number.

82867 is a deficient number, since it is larger than the sum of its proper divisors (653).

82867 is a wasteful number, since it uses less digits than its factorization.

82867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its digits is 5376, while the sum is 31.

The square root of 82867 is about 287.8662884049. The cubic root of 82867 is about 43.5973948448.

It can be divided in two parts, 82 and 867, that added together give a palindrome (949).

The spelling of 82867 in words is "eighty-two thousand, eight hundred sixty-seven".