164101941 has 48 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 99902880.

The previous prime is 164101937. The next prime is 164101943. The reversal of 164101941 is 149101461.

164101941 is a `hidden beast` number, since 1 + 641 + 0 + 19 + 4 + 1 = 666.

It is not a de Polignac number, because 164101941 - 2² = 164101937 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164101943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686500 + ... + 686738.

It is an arithmetic number, because the mean of its divisors is an integer number (5391360).

Almost surely, 2^164101941 is an apocalyptic number.

It is an amenable number.

164101941 is a deficient number, since it is larger than the sum of its proper divisors (94683339).

164101941 is a wasteful number, since it uses less digits than its factorization.

164101941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 164101941 is about 12810.2279839197. The cubic root of 164101941 is about 547.4837575716.

The spelling of 164101941 in words is "one hundred sixty-four million, one hundred one thousand, nine hundred forty-one".