164512 has 24 divisors (see below), whose sum is σ = 333396. Its totient is φ = 79872.

The previous prime is 164503. The next prime is 164513. The reversal of 164512 is 215461.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 1296 = 404^2 + 36^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 164512.

It is not an unprimeable number, because it can be changed into a prime (164513) by changing a digit.

164512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1648 + ... + 1744.

2¹⁶⁴⁵¹² 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 164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166698).

164512 is an abundant number, since it is smaller than the sum of its proper divisors (168884).

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

164512 is an equidigital number, since it uses as much as digits as its factorization.

164512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 164512 is about 405.6007889539. The cubic root of 164512 is about 54.7939396925.

Adding to 164512 its reverse (215461), we get a palindrome (379973).

It can be divided in two parts, 164 and 512, that added together give a palindrome (676).

The spelling of 164512 in words is "one hundred sixty-four thousand, five hundred twelve".