82081837 has 2 divisors, whose sum is σ = 82081838. Its totient is φ = 82081836.

The previous prime is 82081829. The next prime is 82081841. The reversal of 82081837 is 73818028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71132356 + 10949481 = 8434^2 + 3309^2 .

It is a cyclic number.

It is not a de Polignac number, because 82081837 - 2³ = 82081829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82081796 and 82081805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82081847) 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, 41040918 + 41040919.

It is an arithmetic number, because the mean of its divisors is an integer number (41040919).

Almost surely, 2^82081837 is an apocalyptic number.

It is an amenable number.

82081837 is a deficient number, since it is larger than the sum of its proper divisors (1).

82081837 is an equidigital number, since it uses as much as digits as its factorization.

82081837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 82081837 is about 9059.9027036718. The cubic root of 82081837 is about 434.5926287067.

The spelling of 82081837 in words is "eighty-two million, eighty-one thousand, eight hundred thirty-seven".