85845101 has 2 divisors, whose sum is σ = 85845102. Its totient is φ = 85845100.

The previous prime is 85845079. The next prime is 85845127. The reversal of 85845101 is 10154858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70123876 + 15721225 = 8374^2 + 3965^2 .

It is a cyclic number.

It is not a de Polignac number, because 85845101 - 2¹⁸ = 85582957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85845601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42922550 + 42922551.

It is an arithmetic number, because the mean of its divisors is an integer number (42922551).

Almost surely, 2^85845101 is an apocalyptic number.

It is an amenable number.

85845101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85845101 is an equidigital number, since it uses as much as digits as its factorization.

85845101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 85845101 is about 9265.2631371160. The cubic root of 85845101 is about 441.1353273050.

Adding to 85845101 its reverse (10154858), we get a palindrome (95999959).

The spelling of 85845101 in words is "eighty-five million, eight hundred forty-five thousand, one hundred one".