164216617 has 8 divisors (see below), whose sum is σ = 174884616. Its totient is φ = 153660672.

The previous prime is 164216599. The next prime is 164216629. The reversal of 164216617 is 716612461.

It can be written as a sum of positive squares in 4 ways, for example, as 97042201 + 67174416 = 9851^2 + 8196^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 164216617 - 2²⁷ = 29998889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164216687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24978 + ... + 30859.

It is an arithmetic number, because the mean of its divisors is an integer number (21860577).

Almost surely, 2^164216617 is an apocalyptic number.

164216617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164216617 is a deficient number, since it is larger than the sum of its proper divisors (10667999).

164216617 is a wasteful number, since it uses less digits than its factorization.

164216617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56027.

The product of its digits is 12096, while the sum is 34.

The square root of 164216617 is about 12814.7031569210. The cubic root of 164216617 is about 547.6112568324.

The spelling of 164216617 in words is "one hundred sixty-four million, two hundred sixteen thousand, six hundred seventeen".