85406177 has 2 divisors, whose sum is σ = 85406178. Its totient is φ = 85406176.

The previous prime is 85406171. The next prime is 85406203. The reversal of 85406177 is 77160458.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57093136 + 28313041 = 7556^2 + 5321^2 .

It is a cyclic number.

It is not a de Polignac number, because 85406177 - 2¹⁶ = 85340641 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85406177.

It is not a weakly prime, because it can be changed into another prime (85406171) 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, 42703088 + 42703089.

It is an arithmetic number, because the mean of its divisors is an integer number (42703089).

Almost surely, 2^85406177 is an apocalyptic number.

It is an amenable number.

85406177 is a deficient number, since it is larger than the sum of its proper divisors (1).

85406177 is an equidigital number, since it uses as much as digits as its factorization.

85406177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 85406177 is about 9241.5462450826. The cubic root of 85406177 is about 440.3822040610.

The spelling of 85406177 in words is "eighty-five million, four hundred six thousand, one hundred seventy-seven".