164844312 has 32 divisors (see below), whose sum is σ = 430030080. Its totient is φ = 52558880.

The previous prime is 164844311. The next prime is 164844331. The reversal of 164844312 is 213448461.

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 (164844311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148764 + ... + 149867.

It is an arithmetic number, because the mean of its divisors is an integer number (13438440).

Almost surely, 2^164844312 is an apocalyptic number.

164844312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164844312 is an abundant number, since it is smaller than the sum of its proper divisors (265185768).

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

164844312 is a wasteful number, since it uses less digits than its factorization.

164844312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298663 (or 298659 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 164844312 is about 12839.1710012757. The cubic root of 164844312 is about 548.3080921566.

The spelling of 164844312 in words is "one hundred sixty-four million, eight hundred forty-four thousand, three hundred twelve".