82032641 has 2 divisors, whose sum is σ = 82032642. Its totient is φ = 82032640.

The previous prime is 82032623. The next prime is 82032649. The reversal of 82032641 is 14623028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63361600 + 18671041 = 7960^2 + 4321^2 .

It is a cyclic number.

It is not a de Polignac number, because 82032641 - 2¹⁰ = 82031617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82032641.

It is not a weakly prime, because it can be changed into another prime (82032649) 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, 41016320 + 41016321.

It is an arithmetic number, because the mean of its divisors is an integer number (41016321).

Almost surely, 2^82032641 is an apocalyptic number.

It is an amenable number.

82032641 is a deficient number, since it is larger than the sum of its proper divisors (1).

82032641 is an equidigital number, since it uses as much as digits as its factorization.

82032641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 82032641 is about 9057.1872565383. The cubic root of 82032641 is about 434.5057865477.

Adding to 82032641 its reverse (14623028), we get a palindrome (96655669).

The spelling of 82032641 in words is "eighty-two million, thirty-two thousand, six hundred forty-one".