13800541 has 2 divisors, whose sum is σ = 13800542. Its totient is φ = 13800540.

The previous prime is 13800533. The next prime is 13800551. The reversal of 13800541 is 14500831.

13800541 is digitally balanced in base 2, 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., 13111641 + 688900 = 3621^2 + 830^2 .

It is a cyclic number.

It is not a de Polignac number, because 13800541 - 2³ = 13800533 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13800551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6900270 + 6900271.

It is an arithmetic number, because the mean of its divisors is an integer number (6900271).

Almost surely, 2^13800541 is an apocalyptic number.

It is an amenable number.

13800541 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800541 is an equidigital number, since it uses as much as digits as its factorization.

13800541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 13800541 is about 3714.9079396400. The cubic root of 13800541 is about 239.8641650329.

It can be divided in two parts, 13800 and 541, that added together give a palindrome (14341).

The spelling of 13800541 in words is "thirteen million, eight hundred thousand, five hundred forty-one".