164201312 has 48 divisors (see below), whose sum is σ = 354633552. Its totient is φ = 74219520.

The previous prime is 164201311. The next prime is 164201333. The reversal of 164201312 is 213102461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66728 + ... + 69144.

It is an arithmetic number, because the mean of its divisors is an integer number (7388199).

Almost surely, 2^164201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177316776).

164201312 is an abundant number, since it is smaller than the sum of its proper divisors (190432240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164201312 is a wasteful number, since it uses less digits than its factorization.

164201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 164201312 is about 12814.1059773985. The cubic root of 164201312 is about 547.5942438349.

Adding to 164201312 its reverse (213102461), we get a palindrome (377303773).

The spelling of 164201312 in words is "one hundred sixty-four million, two hundred one thousand, three hundred twelve".