13852801 has 2 divisors, whose sum is σ = 13852802. Its totient is φ = 13852800.

The previous prime is 13852799. The next prime is 13852819. The reversal of 13852801 is 10825831.

13852801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 2563201 = 3360^2 + 1601^2 .

It is an emirp because it is prime and its reverse (10825831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13852801 - 2¹ = 13852799 is a prime.

Together with 13852799, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13852801.

It is not a weakly prime, because it can be changed into another prime (13852871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6926400 + 6926401.

It is an arithmetic number, because the mean of its divisors is an integer number (6926401).

Almost surely, 2^13852801 is an apocalyptic number.

13852801 is the 1665-th centered decagonal number.

It is an amenable number.

13852801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13852801 is an equidigital number, since it uses as much as digits as its factorization.

13852801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13852801 is about 3721.9351149637. The cubic root of 13852801 is about 240.1665568387.

It can be divided in two parts, 1385 and 2801, that added together give a triangular number (4186 = T₉₁).

The spelling of 13852801 in words is "thirteen million, eight hundred fifty-two thousand, eight hundred one".