417073165 has 16 divisors (see below), whose sum is σ = 518310576. Its totient is φ = 321984000.

The previous prime is 417073141. The next prime is 417073171. The reversal of 417073165 is 561370714.

It can be written as a sum of positive squares in 8 ways, for example, as 25270729 + 391802436 = 5027^2 + 19794^2 .

It is not a de Polignac number, because 417073165 - 2⁷ = 417073037 is a prime.

It is a super-4 number, since 4×417073165⁴ (a number of 36 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417073165.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3265 + ... + 29065.

It is an arithmetic number, because the mean of its divisors is an integer number (32394411).

Almost surely, 2^417073165 is an apocalyptic number.

It is an amenable number.

417073165 is a deficient number, since it is larger than the sum of its proper divisors (101237411).

417073165 is a wasteful number, since it uses less digits than its factorization.

417073165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25920.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 417073165 is about 20422.3692308214. The cubic root of 417073165 is about 747.1436032892.

The spelling of 417073165 in words is "four hundred seventeen million, seventy-three thousand, one hundred sixty-five".