85756961 has 2 divisors, whose sum is σ = 85756962. Its totient is φ = 85756960.

The previous prime is 85756939. The next prime is 85756963. The reversal of 85756961 is 16965758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70980625 + 14776336 = 8425^2 + 3844^2 .

It is a cyclic number.

It is not a de Polignac number, because 85756961 - 2¹⁸ = 85494817 is a prime.

Together with 85756963, 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 (85756963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42878480 + 42878481.

It is an arithmetic number, because the mean of its divisors is an integer number (42878481).

Almost surely, 2^85756961 is an apocalyptic number.

It is an amenable number.

85756961 is a deficient number, since it is larger than the sum of its proper divisors (1).

85756961 is an equidigital number, since it uses as much as digits as its factorization.

85756961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 453600, while the sum is 47.

The square root of 85756961 is about 9260.5054397695. The cubic root of 85756961 is about 440.9842995355.

The spelling of 85756961 in words is "eighty-five million, seven hundred fifty-six thousand, nine hundred sixty-one".