168125 has 10 divisors (see below), whose sum is σ = 210870. Its totient is φ = 134000.

The previous prime is 168109. The next prime is 168127. The reversal of 168125 is 521861.

168125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 109561 + 58564 = 331^2 + 242^2 .

It is not a de Polignac number, because 168125 - 2⁴ = 168109 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 168125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168127) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 491 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (21087).

2¹⁶⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

168125 is a deficient number, since it is larger than the sum of its proper divisors (42745).

168125 is an frugal number, since it uses more digits than its factorization.

168125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 168125 is about 410.0304866714. The cubic root of 168125 is about 55.1921652747.

Adding to 168125 its reverse (521861), we get a palindrome (689986).

It can be divided in two parts, 1681 and 25, that multiplied together give a square (42025 = 205²).

The spelling of 168125 in words is "one hundred sixty-eight thousand, one hundred twenty-five".