82124309 has 2 divisors, whose sum is σ = 82124310. Its totient is φ = 82124308.

The previous prime is 82124303. The next prime is 82124333. The reversal of 82124309 is 90342128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60062500 + 22061809 = 7750^2 + 4697^2 .

It is a cyclic number.

It is not a de Polignac number, because 82124309 - 2²⁰ = 81075733 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82124303) 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, 41062154 + 41062155.

It is an arithmetic number, because the mean of its divisors is an integer number (41062155).

Almost surely, 2^82124309 is an apocalyptic number.

It is an amenable number.

82124309 is a deficient number, since it is larger than the sum of its proper divisors (1).

82124309 is an equidigital number, since it uses as much as digits as its factorization.

82124309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 82124309 is about 9062.2463550711. The cubic root of 82124309 is about 434.6675735670.

It can be divided in two parts, 8212 and 4309, that added together give a palindrome (12521).

The spelling of 82124309 in words is "eighty-two million, one hundred twenty-four thousand, three hundred nine".