85806881 has 2 divisors, whose sum is σ = 85806882. Its totient is φ = 85806880.

The previous prime is 85806863. The next prime is 85806883. The reversal of 85806881 is 18860858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54893281 + 30913600 = 7409^2 + 5560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85806881 is a prime.

It is a super-2 number, since 2×85806881² = 14725641653896322, which contains 22 as substring.

Together with 85806883, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85806883) 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, 42903440 + 42903441.

It is an arithmetic number, because the mean of its divisors is an integer number (42903441).

Almost surely, 2^85806881 is an apocalyptic number.

It is an amenable number.

85806881 is a deficient number, since it is larger than the sum of its proper divisors (1).

85806881 is an equidigital number, since it uses as much as digits as its factorization.

85806881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122880, while the sum is 44.

The square root of 85806881 is about 9263.2003648847. The cubic root of 85806881 is about 441.0698500877.

The spelling of 85806881 in words is "eighty-five million, eight hundred six thousand, eight hundred eighty-one".