216827919 has 48 divisors (see below), whose sum is σ = 403113984. Its totient is φ = 108993600.

The previous prime is 216827917. The next prime is 216827927. The reversal of 216827919 is 919728612.

It is not a de Polignac number, because 216827919 - 2¹ = 216827917 is a prime.

It is a super-2 number, since 2×216827919² = 94028692915741122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216827917) 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, 16437 + ... + 26529.

It is an arithmetic number, because the mean of its divisors is an integer number (8398208).

Almost surely, 2^216827919 is an apocalyptic number.

216827919 is a deficient number, since it is larger than the sum of its proper divisors (186286065).

216827919 is a wasteful number, since it uses less digits than its factorization.

216827919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10145 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 216827919 is about 14725.0778945308. The cubic root of 216827919 is about 600.7656143090.

The spelling of 216827919 in words is "two hundred sixteen million, eight hundred twenty-seven thousand, nine hundred nineteen".