9780120829 has 2 divisors, whose sum is σ = 9780120830. Its totient is φ = 9780120828.

The previous prime is 9780120827. The next prime is 9780120869. The reversal of 9780120829 is 9280210879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9650115225 + 130005604 = 98235^2 + 11402^2 .

It is an emirp because it is prime and its reverse (9280210879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9780120829 - 2¹ = 9780120827 is a prime.

Together with 9780120827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9780120821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4890060414 + 4890060415.

It is an arithmetic number, because the mean of its divisors is an integer number (4890060415).

Almost surely, 2^9780120829 is an apocalyptic number.

It is an amenable number.

9780120829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9780120829 is an equidigital number, since it uses as much as digits as its factorization.

9780120829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 9780120829 is about 98894.4934210192. The cubic root of 9780120829 is about 2138.5270112928.

The spelling of 9780120829 in words is "nine billion, seven hundred eighty million, one hundred twenty thousand, eight hundred twenty-nine".