217313007 has 32 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 135339360.

The previous prime is 217312967. The next prime is 217313011. The reversal of 217313007 is 700313712.

It is not a de Polignac number, because 217313007 - 2¹² = 217308911 is a prime.

It is a super-2 number, since 2×217313007² = 94449886022764098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217313087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362494 + ... + 363092.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2^217313007 is an apocalyptic number.

217313007 is a deficient number, since it is larger than the sum of its proper divisors (92344593).

217313007 is a wasteful number, since it uses less digits than its factorization.

217313007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 217313007 is about 14741.5401841192. The cubic root of 217313007 is about 601.2132921056.

Adding to 217313007 its reverse (700313712), we get a palindrome (917626719).

The spelling of 217313007 in words is "two hundred seventeen million, three hundred thirteen thousand, seven".