13085921 has 2 divisors, whose sum is σ = 13085922. Its totient is φ = 13085920.

The previous prime is 13085899. The next prime is 13085923. The reversal of 13085921 is 12958031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11424400 + 1661521 = 3380^2 + 1289^2 .

It is a cyclic number.

It is not a de Polignac number, because 13085921 - 2⁶ = 13085857 is a prime.

Together with 13085923, 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 (13085923) 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, 6542960 + 6542961.

It is an arithmetic number, because the mean of its divisors is an integer number (6542961).

Almost surely, 2^13085921 is an apocalyptic number.

It is an amenable number.

13085921 is a deficient number, since it is larger than the sum of its proper divisors (1).

13085921 is an equidigital number, since it uses as much as digits as its factorization.

13085921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 13085921 is about 3617.4467515086. The cubic root of 13085921 is about 235.6503548340.

The spelling of 13085921 in words is "thirteen million, eighty-five thousand, nine hundred twenty-one".