165316 has 12 divisors (see below), whose sum is σ = 297388. Its totient is φ = 80352.

The previous prime is 165313. The next prime is 165317. The reversal of 165316 is 613561.

It can be written as a sum of positive squares in 2 ways, for example, as 72900 + 92416 = 270^2 + 304^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (165311) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 411 + ... + 706.

2¹⁶⁵³¹⁶ is an apocalyptic number.

It is an amenable number.

165316 is a deficient number, since it is larger than the sum of its proper divisors (132072).

165316 is a wasteful number, since it uses less digits than its factorization.

165316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1156 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 165316 is about 406.5907032877. The cubic root of 165316 is about 54.8830573142.

Adding to 165316 its reverse (613561), we get a palindrome (778877).

The spelling of 165316 in words is "one hundred sixty-five thousand, three hundred sixteen".