82667 has 4 divisors (see below), whose sum is σ = 89040. Its totient is φ = 76296.

The previous prime is 82657. The next prime is 82699. The reversal of 82667 is 76628.

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

It is a cyclic number.

It is not a de Polignac number, because 82667 - 2⁴ = 82651 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82667.

It is not an unprimeable number, because it can be changed into a prime (82657) 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, 3167 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2⁸²⁶⁶⁷ is an apocalyptic number.

82667 is a deficient number, since it is larger than the sum of its proper divisors (6373).

82667 is a wasteful number, since it uses less digits than its factorization.

82667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372.

The product of its digits is 4032, while the sum is 29.

The square root of 82667 is about 287.5186950443. The cubic root of 82667 is about 43.5622923986.

The spelling of 82667 in words is "eighty-two thousand, six hundred sixty-seven".