165996 has 48 divisors (see below), whose sum is σ = 453600. Its totient is φ = 52416.

The previous prime is 165983. The next prime is 166013. The reversal of 165996 is 699561.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 165996.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁶⁵⁹⁹⁶ 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 165996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

165996 is an abundant number, since it is smaller than the sum of its proper divisors (287604).

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

165996 is a wasteful number, since it uses less digits than its factorization.

165996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 165996 is about 407.4260669128. The cubic root of 165996 is about 54.9582051625.

The spelling of 165996 in words is "one hundred sixty-five thousand, nine hundred ninety-six".