85801123 has 2 divisors, whose sum is σ = 85801124. Its totient is φ = 85801122.

The previous prime is 85801099. The next prime is 85801129. The reversal of 85801123 is 32110858.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85801123 - 2¹⁷ = 85670051 is a prime.

It is a super-2 number, since 2×85801123² = 14723665416122258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85801091 and 85801100.

It is not a weakly prime, because it can be changed into another prime (85801129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42900561 + 42900562.

It is an arithmetic number, because the mean of its divisors is an integer number (42900562).

Almost surely, 2^85801123 is an apocalyptic number.

85801123 is a deficient number, since it is larger than the sum of its proper divisors (1).

85801123 is an equidigital number, since it uses as much as digits as its factorization.

85801123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 85801123 is about 9262.8895599591. The cubic root of 85801123 is about 441.0599839908.

The spelling of 85801123 in words is "eighty-five million, eight hundred one thousand, one hundred twenty-three".