827987309 has 2 divisors, whose sum is σ = 827987310. Its totient is φ = 827987308.

The previous prime is 827987299. The next prime is 827987411. The reversal of 827987309 is 903789728.

827987309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 443944900 + 384042409 = 21070^2 + 19597^2 .

It is a cyclic number.

It is not a de Polignac number, because 827987309 - 2¹² = 827983213 is a prime.

It is a super-2 number, since 2×827987309² = 1371125967730122962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827987609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413993654 + 413993655.

It is an arithmetic number, because the mean of its divisors is an integer number (413993655).

Almost surely, 2^827987309 is an apocalyptic number.

It is an amenable number.

827987309 is a deficient number, since it is larger than the sum of its proper divisors (1).

827987309 is an equidigital number, since it uses as much as digits as its factorization.

827987309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 53.

The square root of 827987309 is about 28774.7686176622. The cubic root of 827987309 is about 939.0193897090.

The spelling of 827987309 in words is "eight hundred twenty-seven million, nine hundred eighty-seven thousand, three hundred nine".