82624313 has 2 divisors, whose sum is σ = 82624314. Its totient is φ = 82624312.

The previous prime is 82624237. The next prime is 82624319. The reversal of 82624313 is 31342628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80425024 + 2199289 = 8968^2 + 1483^2 .

It is a cyclic number.

It is not a de Polignac number, because 82624313 - 2⁸ = 82624057 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82624319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41312156 + 41312157.

It is an arithmetic number, because the mean of its divisors is an integer number (41312157).

Almost surely, 2^82624313 is an apocalyptic number.

It is an amenable number.

82624313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82624313 is an equidigital number, since it uses as much as digits as its factorization.

82624313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 29.

The square root of 82624313 is about 9089.7916917826. The cubic root of 82624313 is about 435.5479297824.

The spelling of 82624313 in words is "eighty-two million, six hundred twenty-four thousand, three hundred thirteen".