2168 has 8 divisors (see below), whose sum is σ = 4080. Its totient is φ = 1080.

The previous prime is 2161. The next prime is 2179. The reversal of 2168 is 8612.

Multipling 2168 by its sum of digits (17), we get a triangular number (36856 = T_{271}).

It can be divided in two parts, 216 and 8, that multiplied together give a cube (1728 = 12^{3}).

2168 is nontrivially palindromic in base 16.

2168 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (8).

2168 is an undulating number in base 16.

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161) by changing a digit.

2168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 128 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (510).

2^{2168} is an apocalyptic number.

It is an amenable number.

2168 is a deficient number, since it is larger than the sum of its proper divisors (1912).

2168 is a wasteful number, since it uses less digits than its factorization.

2168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 2168 is about 46.5617869073. The cubic root of 2168 is about 12.9425472539.

The spelling of 2168 in words is "two thousand, one hundred sixty-eight".

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