164765 has 8 divisors (see below), whose sum is σ = 204288. Its totient is φ = 127440.

The previous prime is 164743. The next prime is 164767. The reversal of 164765 is 567461.

164765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164765 - 2⁶ = 164701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164765.

It is not an unprimeable number, because it can be changed into a prime (164767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2¹⁶⁴⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

164765 is a deficient number, since it is larger than the sum of its proper divisors (39523).

164765 is a wasteful number, since it uses less digits than its factorization.

164765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099.

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

The square root of 164765 is about 405.9125521587. The cubic root of 164765 is about 54.8220141720.

It can be divided in two parts, 164 and 765, that added together give a palindrome (929).

The spelling of 164765 in words is "one hundred sixty-four thousand, seven hundred sixty-five".