13530641 has 12 divisors (see below), whose sum is σ = 14680692. Its totient is φ = 12459744.

The previous prime is 13530611. The next prime is 13530653. The reversal of 13530641 is 14603531.

It is a happy number.

13530641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4857616 + 8673025 = 2204^2 + 2945^2 .

It is not a de Polignac number, because 13530641 - 2¹⁴ = 13514257 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12851 + ... + 13863.

It is an arithmetic number, because the mean of its divisors is an integer number (1223391).

Almost surely, 2^13530641 is an apocalyptic number.

It is an amenable number.

13530641 is a deficient number, since it is larger than the sum of its proper divisors (1150051).

13530641 is a wasteful number, since it uses less digits than its factorization.

13530641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13530641 is about 3678.4019628094. The cubic root of 13530641 is about 238.2901681761.

The spelling of 13530641 in words is "thirteen million, five hundred thirty thousand, six hundred forty-one".