165096 has 24 divisors (see below), whose sum is σ = 447330. Its totient is φ = 55008.

The previous prime is 165089. The next prime is 165103. The reversal of 165096 is 690561.

165096 is a `hidden beast` number, since 1 + 650 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (165089) and next prime (165103).

It can be written as a sum of positive squares in only one way, i.e., 152100 + 12996 = 390^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

165096 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1075 + ... + 1218.

2¹⁶⁵⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

165096 is an abundant number, since it is smaller than the sum of its proper divisors (282234).

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

165096 is a wasteful number, since it uses less digits than its factorization.

165096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 165096 is about 406.3200708801. The cubic root of 165096 is about 54.8587006626.

The spelling of 165096 in words is "one hundred sixty-five thousand, ninety-six".