164312192 has 72 divisors (see below), whose sum is σ = 363331395. Its totient is φ = 73962240.

The previous prime is 164312189. The next prime is 164312201. The reversal of 164312192 is 291213461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 82156096 + 82156096 = 9064^2 + 9064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9064.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1595213 + ... + 1595315.

Almost surely, 2^164312192 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 164312192

164312192 is an abundant number, since it is smaller than the sum of its proper divisors (199019203).

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

164312192 is an equidigital number, since it uses as much as digits as its factorization.

164312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 116 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 164312192 is about 12818.4317293497. The cubic root of 164312192 is about 547.7174738451.

Multiplying 164312192 by its product of digits (2592), we get a square (425897201664 = 652608²).

The spelling of 164312192 in words is "one hundred sixty-four million, three hundred twelve thousand, one hundred ninety-two".