12820961 has 2 divisors, whose sum is σ = 12820962. Its totient is φ = 12820960.

The previous prime is 12820937. The next prime is 12820963. The reversal of 12820961 is 16902821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 2193361 = 3260^2 + 1481^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12820961 is a prime.

Together with 12820963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12820963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6410480 + 6410481.

It is an arithmetic number, because the mean of its divisors is an integer number (6410481).

Almost surely, 2^12820961 is an apocalyptic number.

It is an amenable number.

12820961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12820961 is an equidigital number, since it uses as much as digits as its factorization.

12820961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12820961 is about 3580.6369545096. The cubic root of 12820961 is about 234.0490376202.

The spelling of 12820961 in words is "twelve million, eight hundred twenty thousand, nine hundred sixty-one".