13785041 has 2 divisors, whose sum is σ = 13785042. Its totient is φ = 13785040.

The previous prime is 13785001. The next prime is 13785091. The reversal of 13785041 is 14058731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13535041 + 250000 = 3679^2 + 500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13785041 is a prime.

It is a super-4 number, since 4×13785041⁴ (a number of 30 digits) contains 4444 as substring.

It is a Chen prime.

It is equal to p₈₉₇₀₀₅ and since 13785041 and 897005 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 13784995 and 13785013.

It is not a weakly prime, because it can be changed into another prime (13785001) 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, 6892520 + 6892521.

It is an arithmetic number, because the mean of its divisors is an integer number (6892521).

Almost surely, 2^13785041 is an apocalyptic number.

It is an amenable number.

13785041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13785041 is an equidigital number, since it uses as much as digits as its factorization.

13785041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 13785041 is about 3712.8211645594. The cubic root of 13785041 is about 239.7743306963.

The spelling of 13785041 in words is "thirteen million, seven hundred eighty-five thousand, forty-one".