164101401 has 24 divisors (see below), whose sum is σ = 251851080. Its totient is φ = 102767616.

The previous prime is 164101397. The next prime is 164101433. The reversal of 164101401 is 104101461.

164101401 is a `hidden beast` number, since 164 + 101 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28611801 + 135489600 = 5349^2 + 11640^2 .

It is not a de Polignac number, because 164101401 - 2² = 164101397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164101451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161 + ... + 18153.

It is an arithmetic number, because the mean of its divisors is an integer number (10493795).

Almost surely, 2^164101401 is an apocalyptic number.

It is an amenable number.

164101401 is a deficient number, since it is larger than the sum of its proper divisors (87749679).

164101401 is a wasteful number, since it uses less digits than its factorization.

164101401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17065 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 164101401 is about 12810.2069069941. The cubic root of 164101401 is about 547.4831570474.

Adding to 164101401 its reverse (104101461), we get a palindrome (268202862).

The spelling of 164101401 in words is "one hundred sixty-four million, one hundred one thousand, four hundred one".