168164 has 12 divisors (see below), whose sum is σ = 311724. Its totient is φ = 79104.

The previous prime is 168151. The next prime is 168193. The reversal of 168164 is 461861.

It can be written as a sum of positive squares in 2 ways, for example, as 128164 + 40000 = 358^2 + 200^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (25977).

2¹⁶⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

168164 is a deficient number, since it is larger than the sum of its proper divisors (143560).

168164 is a wasteful number, since it uses less digits than its factorization.

168164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2492 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 168164 is about 410.0780413531. The cubic root of 168164 is about 55.1964325917.

It can be divided in two parts, 1681 and 64, that multiplied together give a square (107584 = 328²).

The spelling of 168164 in words is "one hundred sixty-eight thousand, one hundred sixty-four".