164113 has 2 divisors, whose sum is σ = 164114. Its totient is φ = 164112.

The previous prime is 164093. The next prime is 164117. The reversal of 164113 is 311461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146689 + 17424 = 383^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 164113 - 2⁹ = 163601 is a prime.

It is not a weakly prime, because it can be changed into another prime (164117) 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 as a sum of consecutive naturals, namely, 82056 + 82057.

It is an arithmetic number, because the mean of its divisors is an integer number (82057).

2¹⁶⁴¹¹³ is an apocalyptic number.

It is an amenable number.

164113 is a deficient number, since it is larger than the sum of its proper divisors (1).

164113 is an equidigital number, since it uses as much as digits as its factorization.

164113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 164113 is about 405.1086274075. The cubic root of 164113 is about 54.7496055795.

Adding to 164113 its reverse (311461), we get a palindrome (475574).

The spelling of 164113 in words is "one hundred sixty-four thousand, one hundred thirteen".