165268 has 12 divisors (see below), whose sum is σ = 293440. Its totient is φ = 81432.

The previous prime is 165247. The next prime is 165287. The reversal of 165268 is 862561.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 1 + 6 + 2¹⁷ + 5³ + 6⁴ + 8⁵ .

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable number.

165268 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 3 ways as a sum of consecutive naturals, for example, 55 + ... + 577.

2¹⁶⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

165268 is a deficient number, since it is larger than the sum of its proper divisors (128172).

165268 is a wasteful number, since it uses less digits than its factorization.

165268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 165268 is about 406.5316715829. The cubic root of 165268 is about 54.8777449795.

The spelling of 165268 in words is "one hundred sixty-five thousand, two hundred sixty-eight".