85968097 has 2 divisors, whose sum is σ = 85968098. Its totient is φ = 85968096.

The previous prime is 85968079. The next prime is 85968101. The reversal of 85968097 is 79086958.

Together with previous prime (85968079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76580001 + 9388096 = 8751^2 + 3064^2 .

It is a cyclic number.

It is not a de Polignac number, because 85968097 - 2⁷ = 85967969 is a prime.

It is not a weakly prime, because it can be changed into another prime (85968017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42984048 + 42984049.

It is an arithmetic number, because the mean of its divisors is an integer number (42984049).

Almost surely, 2^85968097 is an apocalyptic number.

It is an amenable number.

85968097 is a deficient number, since it is larger than the sum of its proper divisors (1).

85968097 is an equidigital number, since it uses as much as digits as its factorization.

85968097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 85968097 is about 9271.8982414606. The cubic root of 85968097 is about 441.3459080981.

The spelling of 85968097 in words is "eighty-five million, nine hundred sixty-eight thousand, ninety-seven".