85106597 has 2 divisors, whose sum is σ = 85106598. Its totient is φ = 85106596.

The previous prime is 85106591. The next prime is 85106599. The reversal of 85106597 is 79560158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78393316 + 6713281 = 8854^2 + 2591^2 .

It is a cyclic number.

It is not a de Polignac number, because 85106597 - 2⁶ = 85106533 is a prime.

Together with 85106599, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85106591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42553298 + 42553299.

It is an arithmetic number, because the mean of its divisors is an integer number (42553299).

Almost surely, 2^85106597 is an apocalyptic number.

It is an amenable number.

85106597 is a deficient number, since it is larger than the sum of its proper divisors (1).

85106597 is an equidigital number, since it uses as much as digits as its factorization.

85106597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 85106597 is about 9225.3236799583. The cubic root of 85106597 is about 439.8666899861.

The spelling of 85106597 in words is "eighty-five million, one hundred six thousand, five hundred ninety-seven".