85903 has 2 divisors, whose sum is σ = 85904. Its totient is φ = 85902.

The previous prime is 85889. The next prime is 85909. The reversal of 85903 is 30958.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85903 - 2¹³ = 77711 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85909) 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, 42951 + 42952.

It is an arithmetic number, because the mean of its divisors is an integer number (42952).

2⁸⁵⁹⁰³ is an apocalyptic number.

85903 is a deficient number, since it is larger than the sum of its proper divisors (1).

85903 is an equidigital number, since it uses as much as digits as its factorization.

85903 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 85903 is about 293.0921356843. The cubic root of 85903 is about 44.1234480912.

Subtracting from 85903 its reverse (30958), we obtain a palindrome (54945).

The spelling of 85903 in words is "eighty-five thousand, nine hundred three".