217217952 has 72 divisors (see below), whose sum is σ = 705964896. Its totient is φ = 62061696.

The previous prime is 217217947. The next prime is 217217969. The reversal of 217217952 is 259712712.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51858 + ... + 55889.

It is an arithmetic number, because the mean of its divisors is an integer number (9805068).

Almost surely, 2^217217952 is an apocalyptic number.

It is an amenable number.

217217952 is an abundant number, since it is smaller than the sum of its proper divisors (488746944).

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

217217952 is a wasteful number, since it uses less digits than its factorization.

217217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107770 (or 107759 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 217217952 is about 14738.3157789484. The cubic root of 217217952 is about 601.1256203110.

The spelling of 217217952 in words is "two hundred seventeen million, two hundred seventeen thousand, nine hundred fifty-two".