85599557 has 2 divisors, whose sum is σ = 85599558. Its totient is φ = 85599556.

The previous prime is 85599551. The next prime is 85599559. The reversal of 85599557 is 75599558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44009956 + 41589601 = 6634^2 + 6449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85599557 is a prime.

Together with 85599559, 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 = 85599499 and 85599508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85599551) 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, 42799778 + 42799779.

It is an arithmetic number, because the mean of its divisors is an integer number (42799779).

Almost surely, 2^85599557 is an apocalyptic number.

It is an amenable number.

85599557 is a deficient number, since it is larger than the sum of its proper divisors (1).

85599557 is an equidigital number, since it uses as much as digits as its factorization.

85599557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2835000, while the sum is 53.

The square root of 85599557 is about 9252.0028642451. The cubic root of 85599557 is about 440.7143303752.

Subtracting from 85599557 its sum of digits (53), we obtain a square (85599504 = 9252²).

Subtracting from 85599557 its reverse (75599558), we obtain a palindrome (9999999).

The spelling of 85599557 in words is "eighty-five million, five hundred ninety-nine thousand, five hundred fifty-seven".