364164 has 12 divisors (see below), whose sum is σ = 849744. Its totient is φ = 121384.

The previous prime is 364141. The next prime is 364171. The reversal of 364164 is 461463.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 364164.

It is an unprimeable number.

364164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15162 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (70812).

2³⁶⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

364164 is an abundant number, since it is smaller than the sum of its proper divisors (485580).

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

364164 is a wasteful number, since it uses less digits than its factorization.

364164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30354 (or 30352 counting only the distinct ones).

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

The square root of 364164 is about 603.4600235310. The cubic root of 364164 is about 71.4110913416.

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

The spelling of 364164 in words is "three hundred sixty-four thousand, one hundred sixty-four".