85558901 has 2 divisors, whose sum is σ = 85558902. Its totient is φ = 85558900.

The previous prime is 85558861. The next prime is 85558927. The reversal of 85558901 is 10985558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84180625 + 1378276 = 9175^2 + 1174^2 .

It is a cyclic number.

It is not a de Polignac number, because 85558901 - 2²⁶ = 18450037 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85558931) 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, 42779450 + 42779451.

It is an arithmetic number, because the mean of its divisors is an integer number (42779451).

Almost surely, 2^85558901 is an apocalyptic number.

It is an amenable number.

85558901 is a deficient number, since it is larger than the sum of its proper divisors (1).

85558901 is an equidigital number, since it uses as much as digits as its factorization.

85558901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 41.

The square root of 85558901 is about 9249.8054574137. The cubic root of 85558901 is about 440.6445460605.

The spelling of 85558901 in words is "eighty-five million, five hundred fifty-eight thousand, nine hundred one".