13536963 has 20 divisors (see below), whose sum is σ = 22061688. Its totient is φ = 8203680.

The previous prime is 13536899. The next prime is 13536967. The reversal of 13536963 is 36963531.

It is not a de Polignac number, because 13536963 - 2⁶ = 13536899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13536967) 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 in 19 ways as a sum of consecutive naturals, for example, 6706 + ... + 8487.

Almost surely, 2^13536963 is an apocalyptic number.

13536963 is a deficient number, since it is larger than the sum of its proper divisors (8524725).

13536963 is a wasteful number, since it uses less digits than its factorization.

13536963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15207 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 13536963 is about 3679.2612030135. The cubic root of 13536963 is about 238.3272749640.

The spelling of 13536963 in words is "thirteen million, five hundred thirty-six thousand, nine hundred sixty-three".