8364 has 24 divisors (see below), whose sum is σ = 21168. Its totient is φ = 2560.

The previous prime is 8363. The next prime is 8369. The reversal of 8364 is 4638.

It is a self number, because there is not a number n which added to its sum of digits gives 8364.

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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

2⁸³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584).

8364 is an abundant number, since it is smaller than the sum of its proper divisors (12804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8364 is a wasteful number, since it uses less digits than its factorization.

8364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 8364 is about 91.4549069214. The cubic root of 8364 is about 20.2988456558.

Adding to 8364 its sum of digits (21), we get a triangular number (8385 = T₁₂₉).

The spelling of 8364 in words is "eight thousand, three hundred sixty-four".