165827667 has 8 divisors (see below), whose sum is σ = 221267200. Its totient is φ = 110469960.

The previous prime is 165827633. The next prime is 165827743. The reversal of 165827667 is 766728561.

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

It is not a de Polignac number, because 165827667 - 2¹⁰ = 165826643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165827867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15559 + ... + 23952.

It is an arithmetic number, because the mean of its divisors is an integer number (27658400).

Almost surely, 2^165827667 is an apocalyptic number.

165827667 is a deficient number, since it is larger than the sum of its proper divisors (55439533).

165827667 is a wasteful number, since it uses less digits than its factorization.

165827667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40913.

The product of its digits is 846720, while the sum is 48.

The square root of 165827667 is about 12877.4091726558. The cubic root of 165827667 is about 549.3962156512.

The spelling of 165827667 in words is "one hundred sixty-five million, eight hundred twenty-seven thousand, six hundred sixty-seven".