85100593 has 2 divisors, whose sum is σ = 85100594. Its totient is φ = 85100592.

The previous prime is 85100579. The next prime is 85100599. The reversal of 85100593 is 39500158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85063729 + 36864 = 9223^2 + 192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85100593 is a prime.

It is a super-2 number, since 2×85100593² = 14484221857903298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85100599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42550296 + 42550297.

It is an arithmetic number, because the mean of its divisors is an integer number (42550297).

Almost surely, 2^85100593 is an apocalyptic number.

It is an amenable number.

85100593 is a deficient number, since it is larger than the sum of its proper divisors (1).

85100593 is an equidigital number, since it uses as much as digits as its factorization.

85100593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 85100593 is about 9224.9982655825. The cubic root of 85100593 is about 439.8563460104.

The spelling of 85100593 in words is "eighty-five million, one hundred thousand, five hundred ninety-three".