164584 has 16 divisors (see below), whose sum is σ = 352800. Its totient is φ = 70512.

The previous prime is 164581. The next prime is 164587. The reversal of 164584 is 485461.

It is an interprime number because it is at equal distance from previous prime (164581) and next prime (164587).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (164581) 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 3 ways as a sum of consecutive naturals, for example, 1414 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2¹⁶⁴⁵⁸⁴ is an apocalyptic number.

164584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164584 is an abundant number, since it is smaller than the sum of its proper divisors (188216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164584 is a wasteful number, since it uses less digits than its factorization.

164584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2948 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 164584 is about 405.6895364685. The cubic root of 164584 is about 54.8019321961.

The spelling of 164584 in words is "one hundred sixty-four thousand, five hundred eighty-four".