164564 has 6 divisors (see below), whose sum is σ = 287994. Its totient is φ = 82280.

The previous prime is 164531. The next prime is 164569. The reversal of 164564 is 465461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 144400 + 20164 = 380^2 + 142^2 .

It is a congruent 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 as a sum of consecutive naturals, namely, 20567 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (47999).

2¹⁶⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

164564 is a deficient number, since it is larger than the sum of its proper divisors (123430).

164564 is a wasteful number, since it uses less digits than its factorization.

164564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41145 (or 41143 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 164564 is about 405.6648863286. The cubic root of 164564 is about 54.7997122900.

The spelling of 164564 in words is "one hundred sixty-four thousand, five hundred sixty-four".