164364 has 12 divisors (see below), whose sum is σ = 383544. Its totient is φ = 54784.

The previous prime is 164363. The next prime is 164371. The reversal of 164364 is 463461.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164364.

It is not an unprimeable number, because it can be changed into a prime (164363) 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 in 3 ways as a sum of consecutive naturals, for example, 6837 + ... + 6860.

It is an arithmetic number, because the mean of its divisors is an integer number (31962).

2¹⁶⁴³⁶⁴ is an apocalyptic number.

It is an amenable number.

164364 is an abundant number, since it is smaller than the sum of its proper divisors (219180).

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

164364 is a wasteful number, since it uses less digits than its factorization.

164364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13704 (or 13702 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 164364 is about 405.4183024976. The cubic root of 164364 is about 54.7775033309. Note that the first 3 decimals are identical.

It can be divided in two parts, 164 and 364, that added together give a triangular number (528 = T₃₂).

The spelling of 164364 in words is "one hundred sixty-four thousand, three hundred sixty-four".