164125 has 16 divisors (see below), whose sum is σ = 222768. Its totient is φ = 120000.

The previous prime is 164117. The next prime is 164147. The reversal of 164125 is 521461.

It can be written as a sum of positive squares in 8 ways, for example, as 38809 + 125316 = 197^2 + 354^2 .

It is not a de Polignac number, because 164125 - 2³ = 164117 is a prime.

164125 is a lucky number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1575 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2¹⁶⁴¹²⁵ is an apocalyptic number.

It is an amenable number.

164125 is a deficient number, since it is larger than the sum of its proper divisors (58643).

164125 is a wasteful number, since it uses less digits than its factorization.

164125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 164125 is about 405.1234379791. The cubic root of 164125 is about 54.7509399837.

Adding to 164125 its reverse (521461), we get a palindrome (685586).

It can be divided in two parts, 164 and 125, that added together give a square (289 = 17²).

The spelling of 164125 in words is "one hundred sixty-four thousand, one hundred twenty-five".