13540401 has 24 divisors (see below), whose sum is σ = 22486464. Its totient is φ = 7691040.

The previous prime is 13540393. The next prime is 13540411. The reversal of 13540401 is 10404531.

It is a happy number.

13540401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13540401 - 2³ = 13540393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13540411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11866 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (936936).

Almost surely, 2^13540401 is an apocalyptic number.

It is an amenable number.

13540401 is a deficient number, since it is larger than the sum of its proper divisors (8946063).

13540401 is a wasteful number, since it uses less digits than its factorization.

13540401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13540401 is about 3679.7283867155. The cubic root of 13540401 is about 238.3474493516.

Adding to 13540401 its reverse (10404531), we get a palindrome (23944932).

The spelling of 13540401 in words is "thirteen million, five hundred forty thousand, four hundred one".