164712 has 16 divisors (see below), whose sum is σ = 411840. Its totient is φ = 54896.

The previous prime is 164707. The next prime is 164729. The reversal of 164712 is 217461.

It is an unprimeable number.

164712 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3408 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2¹⁶⁴⁷¹² is an apocalyptic number.

164712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164712 is an abundant number, since it is smaller than the sum of its proper divisors (247128).

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

164712 is a wasteful number, since it uses less digits than its factorization.

164712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6868 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 164712 is about 405.8472619102. The cubic root of 164712 is about 54.8161353378.

The spelling of 164712 in words is "one hundred sixty-four thousand, seven hundred twelve".