164529 has 12 divisors (see below), whose sum is σ = 241332. Its totient is φ = 108000.

The previous prime is 164513. The next prime is 164531. The reversal of 164529 is 925461.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 90000 = 273^2 + 300^2 .

It is not a de Polignac number, because 164529 - 2⁴ = 164513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164569) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 819 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (20111).

2¹⁶⁴⁵²⁹ is an apocalyptic number.

It is an amenable number.

164529 is a deficient number, since it is larger than the sum of its proper divisors (76803).

164529 is a wasteful number, since it uses less digits than its factorization.

164529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 164529 is about 405.6217449792. The cubic root of 164529 is about 54.7958270216.

It can be divided in two parts, 16452 and 9, that added together give a palindrome (16461).

The spelling of 164529 in words is "one hundred sixty-four thousand, five hundred twenty-nine".