164205312 has 72 divisors (see below), whose sum is σ = 462769776. Its totient is φ = 51511296.

The previous prime is 164205299. The next prime is 164205341. The reversal of 164205312 is 213502461.

164205312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6768 + ... + 19344.

It is an arithmetic number, because the mean of its divisors is an integer number (6427358).

Almost surely, 2^164205312 is an apocalyptic number.

164205312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231384888).

164205312 is an abundant number, since it is smaller than the sum of its proper divisors (298564464).

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

164205312 is a wasteful number, since it uses less digits than its factorization.

164205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164205312 is about 12814.2620544454. The cubic root of 164205312 is about 547.5986903264.

Adding to 164205312 its reverse (213502461), we get a palindrome (377707773).

The spelling of 164205312 in words is "one hundred sixty-four million, two hundred five thousand, three hundred twelve".