13782033 has 6 divisors (see below), whose sum is σ = 19907394. Its totient is φ = 9188016.

The previous prime is 13782031. The next prime is 13782061. The reversal of 13782033 is 33028731.

It can be written as a sum of positive squares in only one way, i.e., 10712529 + 3069504 = 3273^2 + 1752^2 .

It is not a de Polignac number, because 13782033 - 2¹ = 13782031 is a prime.

It is a super-2 number, since 2×13782033² = 379888867226178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13781988 and 13782006.

It is not an unprimeable number, because it can be changed into a prime (13782031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 765660 + ... + 765677.

It is an arithmetic number, because the mean of its divisors is an integer number (3317899).

Almost surely, 2^13782033 is an apocalyptic number.

It is an amenable number.

13782033 is a deficient number, since it is larger than the sum of its proper divisors (6125361).

13782033 is a wasteful number, since it uses less digits than its factorization.

13782033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531343 (or 1531340 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13782033 is about 3712.4160596571. The cubic root of 13782033 is about 239.7568892380.

The spelling of 13782033 in words is "thirteen million, seven hundred eighty-two thousand, thirty-three".