164505 has 16 divisors (see below), whose sum is σ = 287424. Its totient is φ = 79680.

The previous prime is 164503. The next prime is 164513. The reversal of 164505 is 505461.

It is a happy number.

It is not a de Polignac number, because 164505 - 2¹ = 164503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164503) 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 15 ways as a sum of consecutive naturals, for example, 334 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (17964).

2¹⁶⁴⁵⁰⁵ is an apocalyptic number.

164505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164505 is a deficient number, since it is larger than the sum of its proper divisors (122919).

164505 is a wasteful number, since it uses less digits than its factorization.

164505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 164505 is about 405.5921596875. The cubic root of 164505 is about 54.7931625191.

Adding to 164505 its reverse (505461), we get a palindrome (669966).

The spelling of 164505 in words is "one hundred sixty-four thousand, five hundred five".