13536977 has 2 divisors, whose sum is σ = 13536978. Its totient is φ = 13536976.

The previous prime is 13536973. The next prime is 13536979. The reversal of 13536977 is 77963531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13535041 + 1936 = 3679^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 13536977 - 2² = 13536973 is a prime.

Together with 13536979, 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 (13536973) 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, 6768488 + 6768489.

It is an arithmetic number, because the mean of its divisors is an integer number (6768489).

Almost surely, 2^13536977 is an apocalyptic number.

It is an amenable number.

13536977 is a deficient number, since it is larger than the sum of its proper divisors (1).

13536977 is an equidigital number, since it uses as much as digits as its factorization.

13536977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 119070, while the sum is 41.

The square root of 13536977 is about 3679.2631055688. The cubic root of 13536977 is about 238.3273571238.

The spelling of 13536977 in words is "thirteen million, five hundred thirty-six thousand, nine hundred seventy-seven".