8164 has 12 divisors (see below), whose sum is σ = 15484. Its totient is φ = 3744.

The previous prime is 8161. The next prime is 8167. The reversal of 8164 is 4618.

8164 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (8161) and next prime (8167).

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 6400 = 42^2 + 80^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8161) 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, 27 + ... + 130.

2⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

8164 is a deficient number, since it is larger than the sum of its proper divisors (7320).

8164 is a wasteful number, since it uses less digits than its factorization.

8164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 8164 is about 90.3548559846. The cubic root of 8164 is about 20.1357432705.

It can be divided in two parts, 816 and 4, that added together give a triangular number (820 = T₄₀).

The spelling of 8164 in words is "eight thousand, one hundred sixty-four".