4168 has 8 divisors (see below), whose sum is σ = 7830. Its totient is φ = 2080.

The previous prime is 4159. The next prime is 4177. The reversal of 4168 is 8614.

It can be divided in two parts, 416 and 8, that added together give a palindrome (424).

It is an interprime number because it is at equal distance from previous prime (4159) and next prime (4177).

It can be written as a sum of positive squares in only one way, i.e., 3844 + 324 = 62^2 + 18^2 .

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

It is a plaindrome in base 15.

It is an unprimeable number.

4168 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253 + ... + 268.

It is an amenable number.

4168 is a deficient number, since it is larger than the sum of its proper divisors (3662).

4168 is a wasteful number, since it uses less digits than its factorization.

4168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

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

The square root of 4168 is about 64.5600495663. The cubic root of 4168 is about 16.0932059859.

The spelling of 4168 in words is "four thousand, one hundred sixty-eight".

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