85405847 has 2 divisors, whose sum is σ = 85405848. Its totient is φ = 85405846.

The previous prime is 85405813. The next prime is 85405861. The reversal of 85405847 is 74850458.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85405847 - 2¹⁴ = 85389463 is a prime.

It is equal to p_4965926 and since 85405847 and 4965926 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85405867) 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, 42702923 + 42702924.

It is an arithmetic number, because the mean of its divisors is an integer number (42702924).

Almost surely, 2^85405847 is an apocalyptic number.

85405847 is a deficient number, since it is larger than the sum of its proper divisors (1).

85405847 is an equidigital number, since it uses as much as digits as its factorization.

85405847 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 85405847 is about 9241.5283909102. The cubic root of 85405847 is about 440.3816368643.

The spelling of 85405847 in words is "eighty-five million, four hundred five thousand, eight hundred forty-seven".