12801 has 8 divisors (see below), whose sum is σ = 18144. Its totient is φ = 8000.

The previous prime is 12799. The next prime is 12809. The reversal of 12801 is 10821.

12801 = T₃₀ + T₃₁ + ... + T₄₆.

12801 = 19² + 20² + ... + 35².

It is a happy number.

12801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(12801) divides (12801-1)².

It is a cyclic number.

It is not a de Polignac number, because 12801 - 2¹ = 12799 is a prime.

It is a Curzon number.

12801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (12809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

It is a Proth number, since it is equal to 25 ⋅ 2⁹ + 1 and 25 < 2⁹.

It is a Poulet number, since it divides 2¹²⁸⁰⁰-1.

2¹²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

12801 is a deficient number, since it is larger than the sum of its proper divisors (5343).

12801 is a wasteful number, since it uses less digits than its factorization.

12801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12801 is about 113.1415043209. The cubic root of 12801 is about 23.3927510602.

The spelling of 12801 in words is "twelve thousand, eight hundred one".