10165217 has 2 divisors, whose sum is σ = 10165218. Its totient is φ = 10165216.

The previous prime is 10165193. The next prime is 10165219. The reversal of 10165217 is 71256101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8549776 + 1615441 = 2924^2 + 1271^2 .

It is a cyclic number.

It is not a de Polignac number, because 10165217 - 2⁶ = 10165153 is a prime.

Together with 10165219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10165192 and 10165201.

It is not a weakly prime, because it can be changed into another prime (10165219) 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 as a sum of consecutive naturals, namely, 5082608 + 5082609.

It is an arithmetic number, because the mean of its divisors is an integer number (5082609).

Almost surely, 2^10165217 is an apocalyptic number.

It is an amenable number.

10165217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165217 is an equidigital number, since it uses as much as digits as its factorization.

10165217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 10165217 is about 3188.2937443090. The cubic root of 10165217 is about 216.6234914628.

The spelling of 10165217 in words is "ten million, one hundred sixty-five thousand, two hundred seventeen".