164784 has 20 divisors (see below), whose sum is σ = 425816. Its totient is φ = 54912.

The previous prime is 164771. The next prime is 164789. The reversal of 164784 is 487461.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164784.

It is not an unprimeable number, because it can be changed into a prime (164789) by changing a digit.

164784 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1669 + ... + 1764.

2¹⁶⁴⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

164784 is an abundant number, since it is smaller than the sum of its proper divisors (261032).

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

164784 is a wasteful number, since it uses less digits than its factorization.

164784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3438 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 164784 is about 405.9359555398. The cubic root of 164784 is about 54.8241213716.

The spelling of 164784 in words is "one hundred sixty-four thousand, seven hundred eighty-four".