82735903 has 2 divisors, whose sum is σ = 82735904. Its totient is φ = 82735902.

The previous prime is 82735901. The next prime is 82735949. The reversal of 82735903 is 30953728.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82735903 - 2¹ = 82735901 is a prime.

Together with 82735901, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82735901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41367951 + 41367952.

It is an arithmetic number, because the mean of its divisors is an integer number (41367952).

Almost surely, 2^82735903 is an apocalyptic number.

82735903 is a deficient number, since it is larger than the sum of its proper divisors (1).

82735903 is an equidigital number, since it uses as much as digits as its factorization.

82735903 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 82735903 is about 9095.9278251314. The cubic root of 82735903 is about 435.7439210413.

It can be divided in two parts, 82735 and 903, that added together give a palindrome (83638).

The spelling of 82735903 in words is "eighty-two million, seven hundred thirty-five thousand, nine hundred three".