165212417 has 2 divisors, whose sum is σ = 165212418. Its totient is φ = 165212416.

The previous prime is 165212393. The next prime is 165212447. The reversal of 165212417 is 714212561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102232321 + 62980096 = 10111^2 + 7936^2 .

It is an emirp because it is prime and its reverse (714212561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165212417 - 2⁸ = 165212161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165212417.

It is not a weakly prime, because it can be changed into another prime (165212447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82606208 + 82606209.

It is an arithmetic number, because the mean of its divisors is an integer number (82606209).

Almost surely, 2^165212417 is an apocalyptic number.

It is an amenable number.

165212417 is a deficient number, since it is larger than the sum of its proper divisors (1).

165212417 is an equidigital number, since it uses as much as digits as its factorization.

165212417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3360, while the sum is 29.

The square root of 165212417 is about 12853.4982397789. The cubic root of 165212417 is about 548.7159212132.

Adding to 165212417 its reverse (714212561), we get a palindrome (879424978).

The spelling of 165212417 in words is "one hundred sixty-five million, two hundred twelve thousand, four hundred seventeen".