85577561 has 2 divisors, whose sum is σ = 85577562. Its totient is φ = 85577560.

The previous prime is 85577543. The next prime is 85577581. The reversal of 85577561 is 16577558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85451536 + 126025 = 9244^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577561 - 2⁶ = 85577497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85577581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42788780 + 42788781.

It is an arithmetic number, because the mean of its divisors is an integer number (42788781).

Almost surely, 2^85577561 is an apocalyptic number.

It is an amenable number.

85577561 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577561 is an equidigital number, since it uses as much as digits as its factorization.

85577561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294000, while the sum is 44.

The square root of 85577561 is about 9250.8140722857. The cubic root of 85577561 is about 440.6765779101.

The spelling of 85577561 in words is "eighty-five million, five hundred seventy-seven thousand, five hundred sixty-one".