164031201 has 12 divisors (see below), whose sum is σ = 242713380. Its totient is φ = 106686720.

The previous prime is 164031187. The next prime is 164031227. The reversal of 164031201 is 102130461.

It is a happy number.

164031201 is a `hidden beast` number, since 1 + 640 + 3 + 1 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88341201 + 75690000 = 9399^2 + 8700^2 .

It is not a de Polignac number, because 164031201 - 2⁵ = 164031169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164031271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221896 + ... + 222633.

It is an arithmetic number, because the mean of its divisors is an integer number (20226115).

Almost surely, 2^164031201 is an apocalyptic number.

It is an amenable number.

164031201 is a deficient number, since it is larger than the sum of its proper divisors (78682179).

164031201 is a wasteful number, since it uses less digits than its factorization.

164031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444576 (or 444573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164031201 is about 12807.4666113170. The cubic root of 164031201 is about 547.4050776829.

Adding to 164031201 its reverse (102130461), we get a palindrome (266161662).

The spelling of 164031201 in words is "one hundred sixty-four million, thirty-one thousand, two hundred one".