164113241 has 32 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 143700480.

The previous prime is 164113231. The next prime is 164113247. The reversal of 164113241 is 142311461.

It is a cyclic number.

It is not a de Polignac number, because 164113241 - 2²² = 159918937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164113247) 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 31 ways as a sum of consecutive naturals, for example, 1843925 + ... + 1844013.

It is an arithmetic number, because the mean of its divisors is an integer number (5831100).

Almost surely, 2^164113241 is an apocalyptic number.

It is an amenable number.

164113241 is a deficient number, since it is larger than the sum of its proper divisors (22481959).

164113241 is a wasteful number, since it uses less digits than its factorization.

164113241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its digits is 576, while the sum is 23.

The square root of 164113241 is about 12810.6690301483. The cubic root of 164113241 is about 547.4963237940.

It can be divided in two parts, 16 and 4113241, that multiplied together give a palindrome (65811856).

The spelling of 164113241 in words is "one hundred sixty-four million, one hundred thirteen thousand, two hundred forty-one".