165608 has 16 divisors (see below), whose sum is σ = 314880. Its totient is φ = 81648.

The previous prime is 165601. The next prime is 165611. The reversal of 165608 is 806561.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (165601) by changing a digit.

165608 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 3 ways as a sum of consecutive naturals, for example, 935 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (19680).

2¹⁶⁵⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

165608 is a deficient number, since it is larger than the sum of its proper divisors (149272).

165608 is a wasteful number, since it uses less digits than its factorization.

165608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 165608 is about 406.9496283325. The cubic root of 165608 is about 54.9153518822.

The spelling of 165608 in words is "one hundred sixty-five thousand, six hundred eight".