165417007 has 16 divisors (see below), whose sum is σ = 192955392. Its totient is φ = 138882240.

The previous prime is 165416963. The next prime is 165417011. The reversal of 165417007 is 700714561.

It is not a de Polignac number, because 165417007 - 2⁷ = 165416879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165417007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165417067) 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 15 ways as a sum of consecutive naturals, for example, 82003 + ... + 83995.

It is an arithmetic number, because the mean of its divisors is an integer number (12059712).

Almost surely, 2^165417007 is an apocalyptic number.

165417007 is a deficient number, since it is larger than the sum of its proper divisors (27538385).

165417007 is a wasteful number, since it uses less digits than its factorization.

165417007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 165417007 is about 12861.4543112356. The cubic root of 165417007 is about 548.9423276876.

The spelling of 165417007 in words is "one hundred sixty-five million, four hundred seventeen thousand, seven".