82735241 has 2 divisors, whose sum is σ = 82735242. Its totient is φ = 82735240.

The previous prime is 82735229. The next prime is 82735267. The reversal of 82735241 is 14253728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77070841 + 5664400 = 8779^2 + 2380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82735241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82735198 and 82735207.

It is not a weakly prime, because it can be changed into another prime (82735841) 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, 41367620 + 41367621.

It is an arithmetic number, because the mean of its divisors is an integer number (41367621).

Almost surely, 2^82735241 is an apocalyptic number.

It is an amenable number.

82735241 is a deficient number, since it is larger than the sum of its proper divisors (1).

82735241 is an equidigital number, since it uses as much as digits as its factorization.

82735241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 82735241 is about 9095.8914351481. The cubic root of 82735241 is about 435.7427588565.

Adding to 82735241 its reverse (14253728), we get a palindrome (96988969).

The spelling of 82735241 in words is "eighty-two million, seven hundred thirty-five thousand, two hundred forty-one".