85588561 has 2 divisors, whose sum is σ = 85588562. Its totient is φ = 85588560.

The previous prime is 85588553. The next prime is 85588577. The reversal of 85588561 is 16588558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70812225 + 14776336 = 8415^2 + 3844^2 .

It is a cyclic number.

It is not a de Polignac number, because 85588561 - 2³ = 85588553 is a prime.

It is equal to p_4975957 and since 85588561 and 4975957 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85588501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42794280 + 42794281.

It is an arithmetic number, because the mean of its divisors is an integer number (42794281).

Almost surely, 2^85588561 is an apocalyptic number.

It is an amenable number.

85588561 is a deficient number, since it is larger than the sum of its proper divisors (1).

85588561 is an equidigital number, since it uses as much as digits as its factorization.

85588561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384000, while the sum is 46.

The square root of 85588561 is about 9251.4085954518. The cubic root of 85588561 is about 440.6954583838.

The spelling of 85588561 in words is "eighty-five million, five hundred eighty-eight thousand, five hundred sixty-one".