164984 has 16 divisors (see below), whose sum is σ = 317520. Its totient is φ = 80320.

The previous prime is 164963. The next prime is 164987. The reversal of 164984 is 489461.

It is a self number, because there is not a number n which added to its sum of digits gives 164984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164987) 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, 77 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

164984 is a Friedman number, since it can be written as 41*(4^6-9*8), using all its digits and the basic arithmetic operations.

2¹⁶⁴⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

164984 is a deficient number, since it is larger than the sum of its proper divisors (152536).

164984 is a wasteful number, since it uses less digits than its factorization.

164984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 546 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 164984 is about 406.1822251158. The cubic root of 164984 is about 54.8462926003.

The spelling of 164984 in words is "one hundred sixty-four thousand, nine hundred eighty-four".