165936 has 20 divisors (see below), whose sum is σ = 428792. Its totient is φ = 55296.

The previous prime is 165931. The next prime is 165941. The reversal of 165936 is 639561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165931) and next prime (165941).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165931) by changing a digit.

165936 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1681 + ... + 1776.

2¹⁶⁵⁹³⁶ is an apocalyptic number.

165936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165936 is an abundant number, since it is smaller than the sum of its proper divisors (262856).

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

165936 is a wasteful number, since it uses less digits than its factorization.

165936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3462 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 165936 is about 407.3524272666. The cubic root of 165936 is about 54.9515827345.

The spelling of 165936 in words is "one hundred sixty-five thousand, nine hundred thirty-six".