85556417 has 2 divisors, whose sum is σ = 85556418. Its totient is φ = 85556416.

The previous prime is 85556407. The next prime is 85556423. The reversal of 85556417 is 71465558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47004736 + 38551681 = 6856^2 + 6209^2 .

It is a cyclic number.

It is not a de Polignac number, because 85556417 - 2⁶ = 85556353 is a prime.

It is not a weakly prime, because it can be changed into another prime (85556407) 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, 42778208 + 42778209.

It is an arithmetic number, because the mean of its divisors is an integer number (42778209).

Almost surely, 2^85556417 is an apocalyptic number.

It is an amenable number.

85556417 is a deficient number, since it is larger than the sum of its proper divisors (1).

85556417 is an equidigital number, since it uses as much as digits as its factorization.

85556417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168000, while the sum is 41.

The square root of 85556417 is about 9249.6711833448. The cubic root of 85556417 is about 440.6402816624.

The spelling of 85556417 in words is "eighty-five million, five hundred fifty-six thousand, four hundred seventeen".