164117 has 2 divisors, whose sum is σ = 164118. Its totient is φ = 164116.

The previous prime is 164113. The next prime is 164147. The reversal of 164117 is 711461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152881 + 11236 = 391^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 164117 - 2² = 164113 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82058 + 82059.

It is an arithmetic number, because the mean of its divisors is an integer number (82059).

2¹⁶⁴¹¹⁷ is an apocalyptic number.

It is an amenable number.

164117 is a deficient number, since it is larger than the sum of its proper divisors (1).

164117 is an equidigital number, since it uses as much as digits as its factorization.

164117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 20.

The square root of 164117 is about 405.1135643249. The cubic root of 164117 is about 54.7500503881.

Adding to 164117 its reverse (711461), we get a palindrome (875578).

The spelling of 164117 in words is "one hundred sixty-four thousand, one hundred seventeen".