164217 has 16 divisors (see below), whose sum is σ = 239360. Its totient is φ = 99792.

The previous prime is 164209. The next prime is 164231. The reversal of 164217 is 712461.

It is not a de Polignac number, because 164217 - 2³ = 164209 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 164193 and 164202.

It is not an unprimeable number, because it can be changed into a prime (164267) 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, 2418 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (14960).

2¹⁶⁴²¹⁷ is an apocalyptic number.

It is an amenable number.

164217 is a deficient number, since it is larger than the sum of its proper divisors (75143).

164217 is a wasteful number, since it uses less digits than its factorization.

164217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its digits is 336, while the sum is 21.

The square root of 164217 is about 405.2369677115. The cubic root of 164217 is about 54.7611682561.

Adding to 164217 its reverse (712461), we get a palindrome (876678).

The spelling of 164217 in words is "one hundred sixty-four thousand, two hundred seventeen".