164523 has 8 divisors (see below), whose sum is σ = 221328. Its totient is φ = 108704.

The previous prime is 164513. The next prime is 164531. The reversal of 164523 is 325461.

It is a happy number.

164523 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164523 - 2⁸ = 164267 is a prime.

164523 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 164523.

It is not an unprimeable number, because it can be changed into a prime (164503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (27666).

2¹⁶⁴⁵²³ is an apocalyptic number.

164523 is a deficient number, since it is larger than the sum of its proper divisors (56805).

164523 is a wasteful number, since it uses less digits than its factorization.

164523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493.

The product of its digits is 720, while the sum is 21.

The square root of 164523 is about 405.6143488586. The cubic root of 164523 is about 54.7951609203.

Adding to 164523 its reverse (325461), we get a palindrome (489984).

The spelling of 164523 in words is "one hundred sixty-four thousand, five hundred twenty-three".