165444 has 24 divisors (see below), whose sum is σ = 409248. Its totient is φ = 51840.

The previous prime is 165443. The next prime is 165449. The reversal of 165444 is 444561.

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 165444.

It is not an unprimeable number, because it can be changed into a prime (165443) 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, 202 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (17052).

2¹⁶⁵⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

165444 is an abundant number, since it is smaller than the sum of its proper divisors (243804).

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

165444 is a wasteful number, since it uses less digits than its factorization.

165444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 165444 is about 406.7480792825. The cubic root of 165444 is about 54.8972185146.

It can be divided in two parts, 16 and 5444, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 165444 in words is "one hundred sixty-five thousand, four hundred forty-four".