165965827 has 8 divisors (see below), whose sum is σ = 170301600. Its totient is φ = 161643840.

The previous prime is 165965809. The next prime is 165965851. The reversal of 165965827 is 728569561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165965827 - 2¹¹ = 165963779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165965867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23674 + ... + 29872.

It is an arithmetic number, because the mean of its divisors is an integer number (21287700).

Almost surely, 2^165965827 is an apocalyptic number.

165965827 is a deficient number, since it is larger than the sum of its proper divisors (4335773).

165965827 is an equidigital number, since it uses as much as digits as its factorization.

165965827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893.

The product of its digits is 907200, while the sum is 49.

The square root of 165965827 is about 12882.7724888706. The cubic root of 165965827 is about 549.5487505332.

The spelling of 165965827 in words is "one hundred sixty-five million, nine hundred sixty-five thousand, eight hundred twenty-seven".