13785601 has 2 divisors, whose sum is σ = 13785602. Its totient is φ = 13785600.

The previous prime is 13785593. The next prime is 13785613. The reversal of 13785601 is 10658731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12082576 + 1703025 = 3476^2 + 1305^2 .

It is a cyclic number.

It is not a de Polignac number, because 13785601 - 2³ = 13785593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13785641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6892800 + 6892801.

It is an arithmetic number, because the mean of its divisors is an integer number (6892801).

Almost surely, 2^13785601 is an apocalyptic number.

It is an amenable number.

13785601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13785601 is an equidigital number, since it uses as much as digits as its factorization.

13785601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 13785601 is about 3712.8965781449. The cubic root of 13785601 is about 239.7775774961. Note that the first 3 decimals are identical.

The spelling of 13785601 in words is "thirteen million, seven hundred eighty-five thousand, six hundred one".