85577993 has 2 divisors, whose sum is σ = 85577994. Its totient is φ = 85577992.

The previous prime is 85577969. The next prime is 85578019. The reversal of 85577993 is 39977558.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80856064 + 4721929 = 8992^2 + 2173^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577993 - 2¹² = 85573897 is a prime.

It is not a weakly prime, because it can be changed into another prime (85577923) 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, 42788996 + 42788997.

It is an arithmetic number, because the mean of its divisors is an integer number (42788997).

Almost surely, 2^85577993 is an apocalyptic number.

It is an amenable number.

85577993 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577993 is an equidigital number, since it uses as much as digits as its factorization.

85577993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2381400, while the sum is 53.

The square root of 85577993 is about 9250.8374215527. The cubic root of 85577993 is about 440.6773194283.

The spelling of 85577993 in words is "eighty-five million, five hundred seventy-seven thousand, nine hundred ninety-three".