166113 has 6 divisors (see below), whose sum is σ = 239954. Its totient is φ = 110736.

The previous prime is 166099. The next prime is 166147. The reversal of 166113 is 311661.

166113 is a `hidden beast` number, since 1 + 661 + 1 + 3 = 666.

166113 is nontrivially palindromic in base 15.

166113 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 154449 + 11664 = 393^2 + 108^2 .

It is not a de Polignac number, because 166113 - 2⁵ = 166081 is a prime.

It is a Duffinian number.

166113 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (166183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9220 + ... + 9237.

2¹⁶⁶¹¹³ is an apocalyptic number.

It is an amenable number.

166113 is a deficient number, since it is larger than the sum of its proper divisors (73841).

166113 is a wasteful number, since it uses less digits than its factorization.

166113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18460 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 166113 is about 407.5696259537. The cubic root of 166113 is about 54.9711143086.

Adding to 166113 its reverse (311661), we get a palindrome (477774).

The spelling of 166113 in words is "one hundred sixty-six thousand, one hundred thirteen".