85185601 has 2 divisors, whose sum is σ = 85185602. Its totient is φ = 85185600.

The previous prime is 85185599. The next prime is 85185643. The reversal of 85185601 is 10658158.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68046001 + 17139600 = 8249^2 + 4140^2 .

It is a cyclic number.

It is not a de Polignac number, because 85185601 - 2¹ = 85185599 is a prime.

Together with 85185599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (85185301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42592800 + 42592801.

It is an arithmetic number, because the mean of its divisors is an integer number (42592801).

Almost surely, 2^85185601 is an apocalyptic number.

It is an amenable number.

85185601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85185601 is an equidigital number, since it uses as much as digits as its factorization.

85185601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 85185601 is about 9229.6045960810. The cubic root of 85185601 is about 440.0027565254.

The spelling of 85185601 in words is "eighty-five million, one hundred eighty-five thousand, six hundred one".