8367 has 4 divisors (see below), whose sum is σ = 11160. Its totient is φ = 5576.

The previous prime is 8363. The next prime is 8369. The reversal of 8367 is 7638.

8367 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 8367 - 2² = 8363 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

8367 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1392 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2⁸³⁶⁷ is an apocalyptic number.

8367 is a deficient number, since it is larger than the sum of its proper divisors (2793).

8367 is a wasteful number, since it uses less digits than its factorization.

8367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792.

The product of its digits is 1008, while the sum is 24.

The square root of 8367 is about 91.4713069766. The cubic root of 8367 is about 20.3012722960.

Subtracting from 8367 its reverse (7638), we obtain a 6-th power (729 = 3⁶).

The spelling of 8367 in words is "eight thousand, three hundred sixty-seven".