11638033 has 8 divisors (see below), whose sum is σ = 12736800. Its totient is φ = 10546080.

The previous prime is 11638031. The next prime is 11638049. The reversal of 11638033 is 33083611.

It is a happy number.

11638033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11638033 - 2¹ = 11638031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11637989 and 11638007.

It is not an unprimeable number, because it can be changed into a prime (11638031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293 + ... + 5341.

It is an arithmetic number, because the mean of its divisors is an integer number (1592100).

Almost surely, 2^11638033 is an apocalyptic number.

11638033 is the 1824-th centered heptagonal number.

It is an amenable number.

11638033 is a deficient number, since it is larger than the sum of its proper divisors (1098767).

11638033 is a wasteful number, since it uses less digits than its factorization.

11638033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 11638033 is about 3411.4561407118. The cubic root of 11638033 is about 226.6173698542.

The spelling of 11638033 in words is "eleven million, six hundred thirty-eight thousand, thirty-three".