13536965 has 8 divisors (see below), whose sum is σ = 17494008. Its totient is φ = 9996480.

The previous prime is 13536899. The next prime is 13536967. The reversal of 13536965 is 56963531.

It can be written as a sum of positive squares in 4 ways, for example, as 454276 + 13082689 = 674^2 + 3617^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13536965 - 2²⁰ = 12488389 is a prime.

It is a super-2 number, since 2×13536965² = 366498842822450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 104066 + ... + 104195.

It is an arithmetic number, because the mean of its divisors is an integer number (2186751).

Almost surely, 2^13536965 is an apocalyptic number.

It is an amenable number.

13536965 is a deficient number, since it is larger than the sum of its proper divisors (3957043).

13536965 is a wasteful number, since it uses less digits than its factorization.

13536965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208279.

The product of its digits is 72900, while the sum is 38.

The square root of 13536965 is about 3679.2614748071. The cubic root of 13536965 is about 238.3272867012.

The spelling of 13536965 in words is "thirteen million, five hundred thirty-six thousand, nine hundred sixty-five".