85600993 has 2 divisors, whose sum is σ = 85600994. Its totient is φ = 85600992.

The previous prime is 85600981. The next prime is 85600997. The reversal of 85600993 is 39900658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46949904 + 38651089 = 6852^2 + 6217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85600993 is a prime.

It is a super-3 number, since 3×85600993³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (85600997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42800496 + 42800497.

It is an arithmetic number, because the mean of its divisors is an integer number (42800497).

Almost surely, 2^85600993 is an apocalyptic number.

It is an amenable number.

85600993 is a deficient number, since it is larger than the sum of its proper divisors (1).

85600993 is an equidigital number, since it uses as much as digits as its factorization.

85600993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 85600993 is about 9252.0804687378. The cubic root of 85600993 is about 440.7167948047.

The spelling of 85600993 in words is "eighty-five million, six hundred thousand, nine hundred ninety-three".