164641113 has 64 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 85929984.

The previous prime is 164641097. The next prime is 164641133. The reversal of 164641113 is 311146461.

164641113 is a `hidden beast` number, since 1 + 6 + 4 + 641 + 1 + 13 = 666.

It is not a de Polignac number, because 164641113 - 2⁴ = 164641097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164641133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277345 + ... + 277937.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^164641113 is an apocalyptic number.

164641113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164641113 is a deficient number, since it is larger than the sum of its proper divisors (138726567).

164641113 is a wasteful number, since it uses less digits than its factorization.

164641113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 164641113 is about 12831.2553166087. The cubic root of 164641113 is about 548.0827048084.

Adding to 164641113 its reverse (311146461), we get a palindrome (475787574).

The spelling of 164641113 in words is "one hundred sixty-four million, six hundred forty-one thousand, one hundred thirteen".