164884 has 6 divisors (see below), whose sum is σ = 288554. Its totient is φ = 82440.

The previous prime is 164881. The next prime is 164893. The reversal of 164884 is 488461.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 49284 = 340^2 + 222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20607 + ... + 20614.

2¹⁶⁴⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

164884 is a deficient number, since it is larger than the sum of its proper divisors (123670).

164884 is a wasteful number, since it uses less digits than its factorization.

164884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41225 (or 41223 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 164884 is about 406.0591089977. The cubic root of 164884 is about 54.8352092270.

It can be divided in two parts, 16 and 4884, that added together give a square (4900 = 70²).

The spelling of 164884 in words is "one hundred sixty-four thousand, eight hundred eighty-four".