166383 has 24 divisors (see below), whose sum is σ = 291200. Its totient is φ = 89424.

The previous prime is 166363. The next prime is 166393. The reversal of 166383 is 383661.

It is not a de Polignac number, because 166383 - 2⁵ = 166351 is a prime.

166383 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128 + ... + 1266.

166383 is a Friedman number, since it can be written as 8+(6*(6+3)+1)^3, using all its digits and the basic arithmetic operations.

2¹⁶⁶³⁸³ is an apocalyptic number.

166383 is a deficient number, since it is larger than the sum of its proper divisors (124817).

166383 is a wasteful number, since it uses less digits than its factorization.

166383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 166383 is about 407.9007232158. The cubic root of 166383 is about 55.0008815286. Note that the first 3 decimals are identical.

It can be divided in two parts, 16638 and 3, that added together give a square (16641 = 129²).

The spelling of 166383 in words is "one hundred sixty-six thousand, three hundred eighty-three".