164434212 has 72 divisors (see below), whose sum is σ = 434056896. Its totient is φ = 54429408.

The previous prime is 164434177. The next prime is 164434219. The reversal of 164434212 is 212434461.

It is a happy number.

164434212 is a `hidden beast` number, since 1 + 6 + 443 + 4 + 212 = 666.

164434212 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×164434212³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164434219) 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 23 ways as a sum of consecutive naturals, for example, 161818 + ... + 162830.

It is an arithmetic number, because the mean of its divisors is an integer number (6028568).

Almost surely, 2^164434212 is an apocalyptic number.

164434212 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 164434212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217028448).

164434212 is an abundant number, since it is smaller than the sum of its proper divisors (269622684).

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

164434212 is a wasteful number, since it uses less digits than its factorization.

164434212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 164434212 is about 12823.1903986488. The cubic root of 164434212 is about 547.8530205924.

Adding to 164434212 its reverse (212434461), we get a palindrome (376868673).

The spelling of 164434212 in words is "one hundred sixty-four million, four hundred thirty-four thousand, two hundred twelve".