13785133 has 2 divisors, whose sum is σ = 13785134. Its totient is φ = 13785132.

The previous prime is 13785103. The next prime is 13785169. The reversal of 13785133 is 33158731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9132484 + 4652649 = 3022^2 + 2157^2 .

It is an emirp because it is prime and its reverse (33158731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13785133 - 2⁹ = 13784621 is a prime.

It is a super-4 number, since 4×13785133⁴ (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13785095 and 13785104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13785103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6892566 + 6892567.

It is an arithmetic number, because the mean of its divisors is an integer number (6892567).

Almost surely, 2^13785133 is an apocalyptic number.

It is an amenable number.

13785133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13785133 is an equidigital number, since it uses as much as digits as its factorization.

13785133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 13785133 is about 3712.8335540393. The cubic root of 13785133 is about 239.7748641051.

The spelling of 13785133 in words is "thirteen million, seven hundred eighty-five thousand, one hundred thirty-three".