165438 has 48 divisors (see below), whose sum is σ = 445536. Its totient is φ = 43200.

The previous prime is 165437. The next prime is 165443. The reversal of 165438 is 834561.

165438 is a `hidden beast` number, since 1 + 654 + 3 + 8 = 666.

165438 is nontrivially palindromic in base 15.

165438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 14.

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 165438.

It is not an unprimeable number, because it can be changed into a prime (165437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (9282).

2¹⁶⁵⁴³⁸ is an apocalyptic number.

165438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768).

165438 is an abundant number, since it is smaller than the sum of its proper divisors (280098).

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

165438 is a wasteful number, since it uses less digits than its factorization.

165438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 165438 is about 406.7407036430. The cubic root of 165438 is about 54.8965548716.

Adding to 165438 its reverse (834561), we get a palindrome (999999).

The spelling of 165438 in words is "one hundred sixty-five thousand, four hundred thirty-eight".