165636 has 36 divisors (see below), whose sum is σ = 432432. Its totient is φ = 53424.

The previous prime is 165617. The next prime is 165653. The reversal of 165636 is 636561.

165636 is a `hidden beast` number, since 1 + 656 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

165636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2¹⁶⁵⁶³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216).

165636 is an abundant number, since it is smaller than the sum of its proper divisors (266796).

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

165636 is a wasteful number, since it uses less digits than its factorization.

165636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 165636 is about 406.9840291707. The cubic root of 165636 is about 54.9184466265.

The spelling of 165636 in words is "one hundred sixty-five thousand, six hundred thirty-six".