164567 has 4 divisors (see below), whose sum is σ = 177240. Its totient is φ = 151896.

The previous prime is 164531. The next prime is 164569. The reversal of 164567 is 765461.

164567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 164567 - 2⁶ = 164503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6317 + ... + 6342.

It is an arithmetic number, because the mean of its divisors is an integer number (44310).

2¹⁶⁴⁵⁶⁷ is an apocalyptic number.

164567 is a deficient number, since it is larger than the sum of its proper divisors (12673).

164567 is a wasteful number, since it uses less digits than its factorization.

164567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672.

The product of its digits is 5040, while the sum is 29.

The square root of 164567 is about 405.6685839451. The cubic root of 164567 is about 54.8000452874.

It can be divided in two parts, 1645 and 67, that multiplied together give a triangular number (110215 = T₄₆₉).

The spelling of 164567 in words is "one hundred sixty-four thousand, five hundred sixty-seven".