85084007 has 2 divisors, whose sum is σ = 85084008. Its totient is φ = 85084006.

The previous prime is 85084001. The next prime is 85084009. The reversal of 85084007 is 70048058.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85084007 - 2¹⁴ = 85067623 is a prime.

Together with 85084009, 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 (85084001) 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, 42542003 + 42542004.

It is an arithmetic number, because the mean of its divisors is an integer number (42542004).

Almost surely, 2^85084007 is an apocalyptic number.

85084007 is a deficient number, since it is larger than the sum of its proper divisors (1).

85084007 is an equidigital number, since it uses as much as digits as its factorization.

85084007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 85084007 is about 9224.0992514175. The cubic root of 85084007 is about 439.8277683350.

The spelling of 85084007 in words is "eighty-five million, eighty-four thousand, seven".