13827033 has 18 divisors (see below), whose sum is σ = 21954842. Its totient is φ = 8379360.

The previous prime is 13827013. The next prime is 13827043. The reversal of 13827033 is 33072831.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 3790809 = 3168^2 + 1947^2 .

It is not a de Polignac number, because 13827033 - 2⁸ = 13826777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13826988 and 13827006.

It is not an unprimeable number, because it can be changed into a prime (13827013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5260 + ... + 7437.

Almost surely, 2^13827033 is an apocalyptic number.

It is an amenable number.

13827033 is a deficient number, since it is larger than the sum of its proper divisors (8127809).

13827033 is a wasteful number, since it uses less digits than its factorization.

13827033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725 (or 12711 counting only the distinct ones).

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

The square root of 13827033 is about 3718.4718635483. The cubic root of 13827033 is about 240.0175507998.

Adding to 13827033 its reverse (33072831), we get a palindrome (46899864).

The spelling of 13827033 in words is "thirteen million, eight hundred twenty-seven thousand, thirty-three".