217313264 has 40 divisors (see below), whose sum is σ = 483049440. Its totient is φ = 92775168.

The previous prime is 217313263. The next prime is 217313267. The reversal of 217313264 is 462313712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217313263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26522 + ... + 33734.

It is an arithmetic number, because the mean of its divisors is an integer number (12076236).

Almost surely, 2^217313264 is an apocalyptic number.

It is an amenable number.

217313264 is an abundant number, since it is smaller than the sum of its proper divisors (265736176).

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

217313264 is a wasteful number, since it uses less digits than its factorization.

217313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7491 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 217313264 is about 14741.5489009805. The cubic root of 217313264 is about 601.2135291090.

Adding to 217313264 its reverse (462313712), we get a palindrome (679626976).

The spelling of 217313264 in words is "two hundred seventeen million, three hundred thirteen thousand, two hundred sixty-four".