164417 has 4 divisors (see below), whose sum is σ = 179376. Its totient is φ = 149460.

The previous prime is 164413. The next prime is 164419. The reversal of 164417 is 714461.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 714461 = 11 ⋅64951.

It is a cyclic number.

It is not a de Polignac number, because 164417 - 2² = 164413 is a prime.

It is a super-3 number, since 3×164417³ = 13334029565699139, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164392 and 164401.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7463 + ... + 7484.

It is an arithmetic number, because the mean of its divisors is an integer number (44844).

2¹⁶⁴⁴¹⁷ is an apocalyptic number.

It is an amenable number.

164417 is a deficient number, since it is larger than the sum of its proper divisors (14959).

164417 is a wasteful number, since it uses less digits than its factorization.

164417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958.

The product of its digits is 672, while the sum is 23.

The square root of 164417 is about 405.4836618164. The cubic root of 164417 is about 54.7833904588.

Adding to 164417 its reverse (714461), we get a palindrome (878878).

It can be divided in two parts, 1644 and 17, that added together give a palindrome (1661).

The spelling of 164417 in words is "one hundred sixty-four thousand, four hundred seventeen".