85137713 has 2 divisors, whose sum is σ = 85137714. Its totient is φ = 85137712.

The previous prime is 85137659. The next prime is 85137719. The reversal of 85137713 is 31773158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85063729 + 73984 = 9223^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 85137713 - 2⁸ = 85137457 is a prime.

It is not a weakly prime, because it can be changed into another prime (85137719) 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, 42568856 + 42568857.

It is an arithmetic number, because the mean of its divisors is an integer number (42568857).

Almost surely, 2^85137713 is an apocalyptic number.

It is an amenable number.

85137713 is a deficient number, since it is larger than the sum of its proper divisors (1).

85137713 is an equidigital number, since it uses as much as digits as its factorization.

85137713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 35.

The square root of 85137713 is about 9227.0099707327. The cubic root of 85137713 is about 439.9202903129.

The spelling of 85137713 in words is "eighty-five million, one hundred thirty-seven thousand, seven hundred thirteen".