8267 has 4 divisors (see below), whose sum is σ = 9456. Its totient is φ = 7080.

The previous prime is 8263. The next prime is 8269. The reversal of 8267 is 7628.

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 8267 - 2² = 8263 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8267.

It is not an unprimeable number, because it can be changed into a prime (8263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 584 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (2364).

2⁸²⁶⁷ is an apocalyptic number.

8267 is a deficient number, since it is larger than the sum of its proper divisors (1189).

8267 is a wasteful number, since it uses less digits than its factorization.

8267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188.

The product of its digits is 672, while the sum is 23.

The square root of 8267 is about 90.9230443837. The cubic root of 8267 is about 20.2200695871.

The spelling of 8267 in words is "eight thousand, two hundred sixty-seven".