785114201 has 2 divisors, whose sum is σ = 785114202. Its totient is φ = 785114200.

The previous prime is 785114191. The next prime is 785114203. The reversal of 785114201 is 102411587.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 778354201 + 6760000 = 27899^2 + 2600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-785114201 is a prime.

It is a super-2 number, since 2×785114201² = 1232808617223736802, which contains 22 as substring.

Together with 785114203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (785114203) 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, 392557100 + 392557101.

It is an arithmetic number, because the mean of its divisors is an integer number (392557101).

Almost surely, 2^785114201 is an apocalyptic number.

It is an amenable number.

785114201 is a deficient number, since it is larger than the sum of its proper divisors (1).

785114201 is an equidigital number, since it uses as much as digits as its factorization.

785114201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 785114201 is about 28019.8893823655. The cubic root of 785114201 is about 922.5238673525.

Adding to 785114201 its reverse (102411587), we get a palindrome (887525788).

The spelling of 785114201 in words is "seven hundred eighty-five million, one hundred fourteen thousand, two hundred one".