13864401 has 12 divisors (see below), whose sum is σ = 21204612. Its totient is φ = 8699136.

The previous prime is 13864397. The next prime is 13864457. The reversal of 13864401 is 10446831.

13864401 is a `hidden beast` number, since 13 + 8 + 644 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 904401 = 3600^2 + 951^2 .

It is not a de Polignac number, because 13864401 - 2² = 13864397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13864481) 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 11 ways as a sum of consecutive naturals, for example, 45156 + ... + 45461.

It is an arithmetic number, because the mean of its divisors is an integer number (1767051).

Almost surely, 2^13864401 is an apocalyptic number.

It is an amenable number.

13864401 is a deficient number, since it is larger than the sum of its proper divisors (7340211).

13864401 is a wasteful number, since it uses less digits than its factorization.

13864401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90640 (or 90637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13864401 is about 3723.4931180277. The cubic root of 13864401 is about 240.2335746882.

The spelling of 13864401 in words is "thirteen million, eight hundred sixty-four thousand, four hundred one".