11838033 has 12 divisors (see below), whose sum is σ = 17225988. Its totient is φ = 7833600.

The previous prime is 11838023. The next prime is 11838049. The reversal of 11838033 is 33083811.

11838033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8105409 + 3732624 = 2847^2 + 1932^2 .

It is not a de Polignac number, because 11838033 - 2⁴ = 11838017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11837988 and 11838006.

It is not an unprimeable number, because it can be changed into a prime (11838023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3568 + ... + 6033.

It is an arithmetic number, because the mean of its divisors is an integer number (1435499).

Almost surely, 2^11838033 is an apocalyptic number.

It is an amenable number.

11838033 is a deficient number, since it is larger than the sum of its proper divisors (5387955).

11838033 is a wasteful number, since it uses less digits than its factorization.

11838033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11838033 is about 3440.6442710632. The cubic root of 11838033 is about 227.9081462873.

It can be divided in two parts, 1183 and 8033, that added together give a square (9216 = 96²).

The spelling of 11838033 in words is "eleven million, eight hundred thirty-eight thousand, thirty-three".