165396 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 42720.

The previous prime is 165391. The next prime is 165397. The reversal of 165396 is 693561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165391) by changing a digit.

165396 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 15 ways as a sum of consecutive naturals, for example, 835 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁶⁵³⁹⁶ 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 165396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

165396 is an abundant number, since it is smaller than the sum of its proper divisors (318444).

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

165396 is a wasteful number, since it uses less digits than its factorization.

165396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

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

The square root of 165396 is about 406.6890704211. The cubic root of 165396 is about 54.8919089207.

Multiplying 165396 by its product of digits (4860), we get a triangular number (803824560 = T₄₀₀₉₅).

It can be divided in two parts, 165 and 396, that added together give a triangular number (561 = T₃₃).

The spelling of 165396 in words is "one hundred sixty-five thousand, three hundred ninety-six".