216808033 has 8 divisors (see below), whose sum is σ = 233663976. Its totient is φ = 199977600.

The previous prime is 216808003. The next prime is 216808043. The reversal of 216808033 is 330808612.

216808033 is digitally balanced in base 2, 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 4 ways, for example, as 51093904 + 165714129 = 7148^2 + 12873^2 .

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 216808033 - 2¹⁷ = 216676961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216807986 and 216808004.

It is not an unprimeable number, because it can be changed into a prime (216808003) 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, 13623 + ... + 24883.

It is an arithmetic number, because the mean of its divisors is an integer number (29207997).

Almost surely, 2^216808033 is an apocalyptic number.

It is an amenable number.

216808033 is a deficient number, since it is larger than the sum of its proper divisors (16855943).

216808033 is a wasteful number, since it uses less digits than its factorization.

216808033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 216808033 is about 14724.4026364400. The cubic root of 216808033 is about 600.7472476855.

The spelling of 216808033 in words is "two hundred sixteen million, eight hundred eight thousand, thirty-three".