216610947 has 48 divisors (see below), whose sum is σ = 377058240. Its totient is φ = 117202176.

The previous prime is 216610937. The next prime is 216610967. The reversal of 216610947 is 749016612.

It is not a de Polignac number, because 216610947 - 2¹⁹ = 216086659 is a prime.

It is a super-3 number, since 3×216610947³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (216610937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 95713 + ... + 97949.

It is an arithmetic number, because the mean of its divisors is an integer number (7855380).

Almost surely, 2^216610947 is an apocalyptic number.

216610947 is a deficient number, since it is larger than the sum of its proper divisors (160447293).

216610947 is a wasteful number, since it uses less digits than its factorization.

216610947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 216610947 is about 14717.7086192111. The cubic root of 216610947 is about 600.5651591581.

The spelling of 216610947 in words is "two hundred sixteen million, six hundred ten thousand, nine hundred forty-seven".