82085903 has 8 divisors (see below), whose sum is σ = 82699440. Its totient is φ = 81475200.

The previous prime is 82085881. The next prime is 82085951. The reversal of 82085903 is 30958028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82085903 - 2¹⁸ = 81823759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82085603) 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 in 7 ways as a sum of consecutive naturals, for example, 110708 + ... + 111446.

It is an arithmetic number, because the mean of its divisors is an integer number (10337430).

Almost surely, 2^82085903 is an apocalyptic number.

82085903 is a deficient number, since it is larger than the sum of its proper divisors (613537).

82085903 is a wasteful number, since it uses less digits than its factorization.

82085903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 82085903 is about 9060.1270962388. The cubic root of 82085903 is about 434.5998045713.

The spelling of 82085903 in words is "eighty-two million, eighty-five thousand, nine hundred three".