166347 has 16 divisors (see below), whose sum is σ = 252960. Its totient is φ = 108000.

The previous prime is 166319. The next prime is 166349. The reversal of 166347 is 743661.

166347 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166347 - 2⁷ = 166219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 1 + 6⁴ + 3⁶ + 6⁶ + 4² + 7⁶ .

It is a plaindrome in base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 166347.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166347.

It is not an unprimeable number, because it can be changed into a prime (166349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

166347 is a Friedman number, since it can be written as (61-6)^3-7*4, using all its digits and the basic arithmetic operations.

2¹⁶⁶³⁴⁷ is an apocalyptic number.

166347 is a deficient number, since it is larger than the sum of its proper divisors (86613).

166347 is a wasteful number, since it uses less digits than its factorization.

166347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 166347 is about 407.8565924440. The cubic root of 166347 is about 54.9969144274.

It can be divided in two parts, 16634 and 7, that added together give a square (16641 = 129²).

The spelling of 166347 in words is "one hundred sixty-six thousand, three hundred forty-seven".