82784309 has 2 divisors, whose sum is σ = 82784310. Its totient is φ = 82784308.

The previous prime is 82784279. The next prime is 82784363. The reversal of 82784309 is 90348728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82755409 + 28900 = 9097^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 82784309 - 2¹⁶ = 82718773 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82784389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41392154 + 41392155.

It is an arithmetic number, because the mean of its divisors is an integer number (41392155).

Almost surely, 2^82784309 is an apocalyptic number.

It is an amenable number.

82784309 is a deficient number, since it is larger than the sum of its proper divisors (1).

82784309 is an equidigital number, since it uses as much as digits as its factorization.

82784309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 82784309 is about 9098.5882970931. The cubic root of 82784309 is about 435.8288841883.

The spelling of 82784309 in words is "eighty-two million, seven hundred eighty-four thousand, three hundred nine".