85958993 has 2 divisors, whose sum is σ = 85958994. Its totient is φ = 85958992.

The previous prime is 85958963. The next prime is 85959017. The reversal of 85958993 is 39985958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49392784 + 36566209 = 7028^2 + 6047^2 .

It is a cyclic number.

It is not a de Polignac number, because 85958993 - 2⁸ = 85958737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (85958903) 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, 42979496 + 42979497.

It is an arithmetic number, because the mean of its divisors is an integer number (42979497).

Almost surely, 2^85958993 is an apocalyptic number.

It is an amenable number.

85958993 is a deficient number, since it is larger than the sum of its proper divisors (1).

85958993 is an equidigital number, since it uses as much as digits as its factorization.

85958993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3499200, while the sum is 56.

The square root of 85958993 is about 9271.4072826082. The cubic root of 85958993 is about 441.3303280743.

The spelling of 85958993 in words is "eighty-five million, nine hundred fifty-eight thousand, nine hundred ninety-three".