164131001 has 8 divisors (see below), whose sum is σ = 170117640. Its totient is φ = 158226048.

The previous prime is 164130973. The next prime is 164131027. The reversal of 164131001 is 100131461.

It can be written as a sum of positive squares in 4 ways, for example, as 21949225 + 142181776 = 4685^2 + 11924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164131001 - 2¹⁸ = 163868857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164131091) 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 7 ways as a sum of consecutive naturals, for example, 16316 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (21264705).

Almost surely, 2^164131001 is an apocalyptic number.

It is an amenable number.

164131001 is a deficient number, since it is larger than the sum of its proper divisors (5986639).

164131001 is a wasteful number, since it uses less digits than its factorization.

164131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40843.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 164131001 is about 12811.3621836243. The cubic root of 164131001 is about 547.5160727265.

Adding to 164131001 its reverse (100131461), we get a palindrome (264262462).

The spelling of 164131001 in words is "one hundred sixty-four million, one hundred thirty-one thousand, one".