13764801 has 16 divisors (see below), whose sum is σ = 18719424. Its totient is φ = 8995584.

The previous prime is 13764767. The next prime is 13764823. The reversal of 13764801 is 10846731.

It is a happy number.

It is not a de Polignac number, because 13764801 - 2¹³ = 13756609 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13764871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43821 + ... + 44133.

It is an arithmetic number, because the mean of its divisors is an integer number (1169964).

Almost surely, 2^13764801 is an apocalyptic number.

It is an amenable number.

13764801 is a deficient number, since it is larger than the sum of its proper divisors (4954623).

13764801 is a wasteful number, since it uses less digits than its factorization.

13764801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13764801 is about 3710.0944731907. The cubic root of 13764801 is about 239.6569230039.

The spelling of 13764801 in words is "thirteen million, seven hundred sixty-four thousand, eight hundred one".