13785001 has 2 divisors, whose sum is σ = 13785002. Its totient is φ = 13785000.

The previous prime is 13784971. The next prime is 13785041. The reversal of 13785001 is 10058731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13682601 + 102400 = 3699^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 13785001 - 2⁷ = 13784873 is a prime.

It is not a weakly prime, because it can be changed into another prime (13785041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6892500 + 6892501.

It is an arithmetic number, because the mean of its divisors is an integer number (6892501).

Almost surely, 2^13785001 is an apocalyptic number.

It is an amenable number.

13785001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13785001 is an equidigital number, since it uses as much as digits as its factorization.

13785001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 13785001 is about 3712.8157778161. The cubic root of 13785001 is about 239.7740987786.

The spelling of 13785001 in words is "thirteen million, seven hundred eighty-five thousand, one".