85577257 has 2 divisors, whose sum is σ = 85577258. Its totient is φ = 85577256.

The previous prime is 85577251. The next prime is 85577279. The reversal of 85577257 is 75277558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56190016 + 29387241 = 7496^2 + 5421^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577257 - 2³ = 85577249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85577251) 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, 42788628 + 42788629.

It is an arithmetic number, because the mean of its divisors is an integer number (42788629).

Almost surely, 2^85577257 is an apocalyptic number.

It is an amenable number.

85577257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577257 is an equidigital number, since it uses as much as digits as its factorization.

85577257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 686000, while the sum is 46.

The square root of 85577257 is about 9250.7976412848. The cubic root of 85577257 is about 440.6760560995.

The spelling of 85577257 in words is "eighty-five million, five hundred seventy-seven thousand, two hundred fifty-seven".