102965017 has 2 divisors, whose sum is σ = 102965018. Its totient is φ = 102965016.

The previous prime is 102964999. The next prime is 102965029. The reversal of 102965017 is 710569201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78074896 + 24890121 = 8836^2 + 4989^2 .

It is a cyclic number.

It is not a de Polignac number, because 102965017 - 2¹¹ = 102962969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102965017.

It is not a weakly prime, because it can be changed into another prime (102965077) 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, 51482508 + 51482509.

It is an arithmetic number, because the mean of its divisors is an integer number (51482509).

Almost surely, 2^102965017 is an apocalyptic number.

It is an amenable number.

102965017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102965017 is an equidigital number, since it uses as much as digits as its factorization.

102965017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 102965017 is about 10147.1679300187. The cubic root of 102965017 is about 468.7017393396.

The spelling of 102965017 in words is "one hundred two million, nine hundred sixty-five thousand, seventeen".