22638033 has 24 divisors (see below), whose sum is σ = 37773216. Its totient is φ = 12912000.

The previous prime is 22638023. The next prime is 22638037. The reversal of 22638033 is 33083622.

22638033 is a `hidden beast` number, since 22 + 638 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 22638033 - 2⁹ = 22637521 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22637988 and 22638006.

It is not an unprimeable number, because it can be changed into a prime (22638037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5043 + ... + 8408.

It is an arithmetic number, because the mean of its divisors is an integer number (1573884).

Almost surely, 2^22638033 is an apocalyptic number.

It is an amenable number.

22638033 is a deficient number, since it is larger than the sum of its proper divisors (15135183).

22638033 is a wasteful number, since it uses less digits than its factorization.

22638033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13485 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 22638033 is about 4757.9441989162. The cubic root of 22638033 is about 282.8869389006.

It can be divided in two parts, 2263 and 8033, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 22638033 in words is "twenty-two million, six hundred thirty-eight thousand, thirty-three".