217133334 has 48 divisors (see below), whose sum is σ = 521951040. Its totient is φ = 64679280.

The previous prime is 217133327. The next prime is 217133443. The reversal of 217133334 is 433331712.

It is a junction number, because it is equal to n+sod(n) for n = 217133298 and 217133307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2389 + ... + 20975.

It is an arithmetic number, because the mean of its divisors is an integer number (10873980).

Almost surely, 2^217133334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217133334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260975520).

217133334 is an abundant number, since it is smaller than the sum of its proper divisors (304817706).

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

217133334 is a wasteful number, since it uses less digits than its factorization.

217133334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665 (or 18662 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 217133334 is about 14735.4448185319. Note that the first 3 decimals coincide. The cubic root of 217133334 is about 601.0475533223.

The spelling of 217133334 in words is "two hundred seventeen million, one hundred thirty-three thousand, three hundred thirty-four".