8 has 4 divisors (see below), whose sum is σ = 15. Its totient is φ = 4.

The previous prime is 7. The next prime is 11.

The cubic root of 8 is 2.

It is a perfect power (a cube), and thus also a powerful number.

It is the 5-th Fibonacci number F_{5}.

It is a Jordan-Polya number, since it can be written as (2!)^{3}.

It is a double factorial (8 = 4 !! = 2 ⋅ 4 ).

8 is nontrivially palindromic in base 3 and base 7.

It is a Cunningham number, because it is equal to 3^{2}-1.

8 is an esthetic number in base 6 and base 8, because in such bases it adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 4 + 4 = 2^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (4).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=2.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Leyland number of the form 2^{2} + 2^{2}.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisibly by the product of its digits.

It is an iccanobiF number.

8 is an idoneal number.

It is a tetranacci number.

It is an Ulam number.

It is (trivially) a d-powerful number and an alternating number.

8 is a strobogrammatic number because it is the same when read upside-down.

It is a cake number, because a cake can be divided into 8 parts by 3 planar cuts.

It is one of the 548 Lynch-Bell numbers.

It is a O'Halloran number.

It is a Duffinian number.

8 is a nontrivial repdigit in base 3 and base 7.

It is a plaindrome in base 3, base 5, base 6 and base 7.

It is a nialpdrome in base 2, base 3, base 4, base 7 and base 8.

It is a zygodrome in base 3 and base 7.

It is a panconsummate number.

A polygon with 8 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

It is a (trivial) narcissistic number.

8 is the 2-nd octagonal number.

8 is the 2-nd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8

8 is a deficient number, since it is larger than the sum of its proper divisors (7).

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

With its successor (9) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (6).

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

The sum of its prime factors is 6 (or 2 counting only the distinct ones).

The product of its digits is 8, while the sum is 8.

The square root of 8 is about 2.8284271247.

The spelling of 8 in words is "eight", and is thus an aban number, an oban number, and an uban number.

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