164405 has 8 divisors (see below), whose sum is σ = 199584. Its totient is φ = 130000.

The previous prime is 164387. The next prime is 164413. The reversal of 164405 is 504461.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164405 - 2⁶ = 164341 is a prime.

It is a super-3 number, since 3×164405³ = 13331110220190375, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 530 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2¹⁶⁴⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

164405 is a deficient number, since it is larger than the sum of its proper divisors (35179).

164405 is a wasteful number, since it uses less digits than its factorization.

164405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 164405 is about 405.4688644027. The cubic root of 164405 is about 54.7820576350.

Adding to 164405 its reverse (504461), we get a palindrome (668866).

The spelling of 164405 in words is "one hundred sixty-four thousand, four hundred five".