164312 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 72864.

The previous prime is 164309. The next prime is 164321. The reversal of 164312 is 213461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3473 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹⁶⁴³¹² is an apocalyptic number.

It is an amenable number.

164312 is an abundant number, since it is smaller than the sum of its proper divisors (181288).

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

164312 is a wasteful number, since it uses less digits than its factorization.

164312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 164312 is about 405.3541661313. The cubic root of 164312 is about 54.7717260508.

Adding to 164312 its reverse (213461), we get a palindrome (377773).

The spelling of 164312 in words is "one hundred sixty-four thousand, three hundred twelve".