165310417 has 2 divisors, whose sum is σ = 165310418. Its totient is φ = 165310416.

The previous prime is 165310391. The next prime is 165310429. The reversal of 165310417 is 714013561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156525121 + 8785296 = 12511^2 + 2964^2 .

It is an emirp because it is prime and its reverse (714013561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165310417 - 2⁷ = 165310289 is a prime.

It is equal to p_9255304 and since 165310417 and 9255304 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (165310517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82655208 + 82655209.

It is an arithmetic number, because the mean of its divisors is an integer number (82655209).

Almost surely, 2^165310417 is an apocalyptic number.

It is an amenable number.

165310417 is a deficient number, since it is larger than the sum of its proper divisors (1).

165310417 is an equidigital number, since it uses as much as digits as its factorization.

165310417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 165310417 is about 12857.3098663756. The cubic root of 165310417 is about 548.8243947615.

Adding to 165310417 its reverse (714013561), we get a palindrome (879323978).

The spelling of 165310417 in words is "one hundred sixty-five million, three hundred ten thousand, four hundred seventeen".