13497664 has 14 divisors (see below), whose sum is σ = 26784554. Its totient is φ = 6748800.

The previous prime is 13497641. The next prime is 13497667. The reversal of 13497664 is 46679431.

13497664 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 only one way, i.e., 11560000 + 1937664 = 3400^2 + 1392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13497667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105387 + ... + 105514.

Almost surely, 2^13497664 is an apocalyptic number.

It is an amenable number.

13497664 is a deficient number, since it is larger than the sum of its proper divisors (13286890).

13497664 is an equidigital number, since it uses as much as digits as its factorization.

13497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210913 (or 210903 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 13497664 is about 3673.9167110864. The cubic root of 13497664 is about 238.0964230443.

It can be divided in two parts, 13497 and 664, that added together give a square (14161 = 119²).

The spelling of 13497664 in words is "thirteen million, four hundred ninety-seven thousand, six hundred sixty-four".