165968 has 40 divisors (see below), whose sum is σ = 374976. Its totient is φ = 70400.

The previous prime is 165961. The next prime is 165983. The reversal of 165968 is 869561.

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 (165961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4028 + ... + 4068.

2¹⁶⁵⁹⁶⁸ 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 165968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

165968 is an abundant number, since it is smaller than the sum of its proper divisors (209008).

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

165968 is a wasteful number, since it uses less digits than its factorization.

165968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 165968 is about 407.3917034010. The cubic root of 165968 is about 54.9551148947.

The spelling of 165968 in words is "one hundred sixty-five thousand, nine hundred sixty-eight".