82024937 has 2 divisors, whose sum is σ = 82024938. Its totient is φ = 82024936.

The previous prime is 82024913. The next prime is 82024939. The reversal of 82024937 is 73942028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42133081 + 39891856 = 6491^2 + 6316^2 .

It is a cyclic number.

It is not a de Polignac number, because 82024937 - 2⁸ = 82024681 is a prime.

Together with 82024939, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82024897 and 82024906.

It is not a weakly prime, because it can be changed into another prime (82024939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41012468 + 41012469.

It is an arithmetic number, because the mean of its divisors is an integer number (41012469).

Almost surely, 2^82024937 is an apocalyptic number.

It is an amenable number.

82024937 is a deficient number, since it is larger than the sum of its proper divisors (1).

82024937 is an equidigital number, since it uses as much as digits as its factorization.

82024937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 82024937 is about 9056.7619489528. The cubic root of 82024937 is about 434.4921840868.

The spelling of 82024937 in words is "eighty-two million, twenty-four thousand, nine hundred thirty-seven".