164415 has 16 divisors (see below), whose sum is σ = 268128. Its totient is φ = 86016.

The previous prime is 164413. The next prime is 164419. The reversal of 164415 is 514461.

164415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164415 - 2¹ = 164413 is a prime.

It is a super-3 number, since 3×164415³ = 13333542978520125, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164391 and 164400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2¹⁶⁴⁴¹⁵ is an apocalyptic number.

164415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164415 is a deficient number, since it is larger than the sum of its proper divisors (103713).

164415 is a wasteful number, since it uses less digits than its factorization.

164415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 480, while the sum is 21.

The square root of 164415 is about 405.4811956182. The cubic root of 164415 is about 54.7831683260.

Adding to 164415 its reverse (514461), we get a palindrome (678876).

The spelling of 164415 in words is "one hundred sixty-four thousand, four hundred fifteen".