164192 has 24 divisors (see below), whose sum is σ = 369936. Its totient is φ = 70272.

The previous prime is 164191. The next prime is 164201. The reversal of 164192 is 291461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164191) by changing a digit.

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, 143 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (15414).

2¹⁶⁴¹⁹² is an apocalyptic number.

It is an amenable number.

164192 is an abundant number, since it is smaller than the sum of its proper divisors (205744).

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

164192 is an equidigital number, since it uses as much as digits as its factorization.

164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 164192 is about 405.2061203881. The cubic root of 164192 is about 54.7583892123.

The spelling of 164192 in words is "one hundred sixty-four thousand, one hundred ninety-two".