13582801 has 2 divisors, whose sum is σ = 13582802. Its totient is φ = 13582800.

The previous prime is 13582799. The next prime is 13582819. The reversal of 13582801 is 10828531.

13582801 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., 13542400 + 40401 = 3680^2 + 201^2 .

It is a cyclic number.

It is not a de Polignac number, because 13582801 - 2¹ = 13582799 is a prime.

Together with 13582799, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13582801.

It is not a weakly prime, because it can be changed into another prime (13582831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6791400 + 6791401.

It is an arithmetic number, because the mean of its divisors is an integer number (6791401).

Almost surely, 2^13582801 is an apocalyptic number.

It is an amenable number.

13582801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13582801 is an equidigital number, since it uses as much as digits as its factorization.

13582801 is an evil number, because the sum of its binary digits is even.

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

The square root of 13582801 is about 3685.4851783720. The cubic root of 13582801 is about 238.5959747756.

The spelling of 13582801 in words is "thirteen million, five hundred eighty-two thousand, eight hundred one".