85108973 has 2 divisors, whose sum is σ = 85108974. Its totient is φ = 85108972.

The previous prime is 85108967. The next prime is 85109023. The reversal of 85108973 is 37980158.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50098084 + 35010889 = 7078^2 + 5917^2 .

It is a cyclic number.

It is not a de Polignac number, because 85108973 - 2⁴ = 85108957 is a prime.

It is a super-2 number, since 2×85108973² = 14487074570229458, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85108973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85108873) 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, 42554486 + 42554487.

It is an arithmetic number, because the mean of its divisors is an integer number (42554487).

Almost surely, 2^85108973 is an apocalyptic number.

It is an amenable number.

85108973 is a deficient number, since it is larger than the sum of its proper divisors (1).

85108973 is an equidigital number, since it uses as much as digits as its factorization.

85108973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 85108973 is about 9225.4524550290. The cubic root of 85108973 is about 439.8707833371.

The spelling of 85108973 in words is "eighty-five million, one hundred eight thousand, nine hundred seventy-three".