165125727 has 12 divisors (see below), whose sum is σ = 256862424. Its totient is φ = 101615760.

The previous prime is 165125707. The next prime is 165125771. The reversal of 165125727 is 727521561.

It is not a de Polignac number, because 165125727 - 2⁶ = 165125663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165125691 and 165125700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165125707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705549 + ... + 705782.

It is an arithmetic number, because the mean of its divisors is an integer number (21405202).

Almost surely, 2^165125727 is an apocalyptic number.

165125727 is a deficient number, since it is larger than the sum of its proper divisors (91736697).

165125727 is a wasteful number, since it uses less digits than its factorization.

165125727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411350 (or 1411347 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 165125727 is about 12850.1255635889. The cubic root of 165125727 is about 548.6199306365.

The spelling of 165125727 in words is "one hundred sixty-five million, one hundred twenty-five thousand, seven hundred twenty-seven".