85300361 has 2 divisors, whose sum is σ = 85300362. Its totient is φ = 85300360.

The previous prime is 85300357. The next prime is 85300363. The reversal of 85300361 is 16300358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83905600 + 1394761 = 9160^2 + 1181^2 .

It is a cyclic number.

It is not a de Polignac number, because 85300361 - 2² = 85300357 is a prime.

It is a Sophie Germain prime.

Together with 85300363, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85300361.

It is not a weakly prime, because it can be changed into another prime (85300363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42650180 + 42650181.

It is an arithmetic number, because the mean of its divisors is an integer number (42650181).

Almost surely, 2^85300361 is an apocalyptic number.

It is an amenable number.

85300361 is a deficient number, since it is larger than the sum of its proper divisors (1).

85300361 is an equidigital number, since it uses as much as digits as its factorization.

85300361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 85300361 is about 9235.8194547100. The cubic root of 85300361 is about 440.2002549196.

The spelling of 85300361 in words is "eighty-five million, three hundred thousand, three hundred sixty-one".