85955993 has 2 divisors, whose sum is σ = 85955994. Its totient is φ = 85955992.

The previous prime is 85955977. The next prime is 85955999. The reversal of 85955993 is 39955958.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76877824 + 9078169 = 8768^2 + 3013^2 .

It is a cyclic number.

It is not a de Polignac number, because 85955993 - 2⁴ = 85955977 is a prime.

It is not a weakly prime, because it can be changed into another prime (85955999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42977996 + 42977997.

It is an arithmetic number, because the mean of its divisors is an integer number (42977997).

Almost surely, 2^85955993 is an apocalyptic number.

It is an amenable number.

85955993 is a deficient number, since it is larger than the sum of its proper divisors (1).

85955993 is an equidigital number, since it uses as much as digits as its factorization.

85955993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187000, while the sum is 53.

The square root of 85955993 is about 9271.2454934599. The cubic root of 85955993 is about 441.3251938184.

The spelling of 85955993 in words is "eighty-five million, nine hundred fifty-five thousand, nine hundred ninety-three".