82024961 has 2 divisors, whose sum is σ = 82024962. Its totient is φ = 82024960.

The previous prime is 82024939. The next prime is 82024979. The reversal of 82024961 is 16942028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45495025 + 36529936 = 6745^2 + 6044^2 .

It is a cyclic number.

It is not a de Polignac number, because 82024961 - 2⁶ = 82024897 is a prime.

It is not a weakly prime, because it can be changed into another prime (82024991) 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, 41012480 + 41012481.

It is an arithmetic number, because the mean of its divisors is an integer number (41012481).

Almost surely, 2^82024961 is an apocalyptic number.

It is an amenable number.

82024961 is a deficient number, since it is larger than the sum of its proper divisors (1).

82024961 is an equidigital number, since it uses as much as digits as its factorization.

82024961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 82024961 is about 9056.7632739296. The cubic root of 82024961 is about 434.4922264634.

Adding to 82024961 its reverse (16942028), we get a palindrome (98966989).

The spelling of 82024961 in words is "eighty-two million, twenty-four thousand, nine hundred sixty-one".