85577857 has 2 divisors, whose sum is σ = 85577858. Its totient is φ = 85577856.

The previous prime is 85577839. The next prime is 85577867. The reversal of 85577857 is 75877558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85544001 + 33856 = 9249^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577857 - 2¹⁹ = 85053569 is a prime.

It is not a weakly prime, because it can be changed into another prime (85577837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42788928 + 42788929.

It is an arithmetic number, because the mean of its divisors is an integer number (42788929).

Almost surely, 2^85577857 is an apocalyptic number.

It is an amenable number.

85577857 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577857 is an equidigital number, since it uses as much as digits as its factorization.

85577857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2744000, while the sum is 52.

The square root of 85577857 is about 9250.8300708639. The cubic root of 85577857 is about 440.6770859876.

The spelling of 85577857 in words is "eighty-five million, five hundred seventy-seven thousand, eight hundred fifty-seven".