164409 has 8 divisors (see below), whose sum is σ = 250560. Its totient is φ = 93936.

The previous prime is 164387. The next prime is 164413. The reversal of 164409 is 904461.

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

It is not a de Polignac number, because 164409 - 2⁵ = 164377 is a prime.

It is a super-3 number, since 3×164409³ = 13332083288009787, which contains 333 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (164419) 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 7 ways as a sum of consecutive naturals, for example, 3894 + ... + 3935.

It is an arithmetic number, because the mean of its divisors is an integer number (31320).

2¹⁶⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

164409 is a deficient number, since it is larger than the sum of its proper divisors (86151).

164409 is an equidigital number, since it uses as much as digits as its factorization.

164409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 164409 is about 405.4737969339. The cubic root of 164409 is about 54.7825019168.

It can be divided in two parts, 164 and 409, that multiplied together give a palindrome (67076).

The spelling of 164409 in words is "one hundred sixty-four thousand, four hundred nine".