217105506 has 12 divisors (see below), whose sum is σ = 470395302. Its totient is φ = 72368496.

The previous prime is 217105501. The next prime is 217105517. The reversal of 217105506 is 605501712.

It can be written as a sum of positive squares in only one way, i.e., 156125025 + 60980481 = 12495^2 + 7809^2 .

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 self number, because there is not a number n which added to its sum of digits gives 217105506.

It is not an unprimeable number, because it can be changed into a prime (217105501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6030691 + ... + 6030726.

Almost surely, 2^217105506 is an apocalyptic number.

217105506 is an abundant number, since it is smaller than the sum of its proper divisors (253289796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217105506 is a wasteful number, since it uses less digits than its factorization.

217105506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061425 (or 12061422 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 217105506 is about 14734.5005344599. The cubic root of 217105506 is about 601.0218752968.

The spelling of 217105506 in words is "two hundred seventeen million, one hundred five thousand, five hundred six".