13488961 has 2 divisors, whose sum is σ = 13488962. Its totient is φ = 13488960.

The previous prime is 13488949. The next prime is 13488997. The reversal of 13488961 is 16988431.

13488961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9265936 + 4223025 = 3044^2 + 2055^2 .

It is a cyclic number.

It is not a de Polignac number, because 13488961 - 2¹⁵ = 13456193 is a prime.

It is not a weakly prime, because it can be changed into another prime (13488901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6744480 + 6744481.

It is an arithmetic number, because the mean of its divisors is an integer number (6744481).

Almost surely, 2^13488961 is an apocalyptic number.

It is an amenable number.

13488961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13488961 is an equidigital number, since it uses as much as digits as its factorization.

13488961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 40.

The square root of 13488961 is about 3672.7320893308. The cubic root of 13488961 is about 238.0452389112.

The spelling of 13488961 in words is "thirteen million, four hundred eighty-eight thousand, nine hundred sixty-one".