216943441 has 27 divisors (see below), whose sum is σ = 260743707. Its totient is φ = 180282960.

The previous prime is 216943439. The next prime is 216943451. The reversal of 216943441 is 144349612.

The square root of 216943441 is 14729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32092225 + 184851216 = 5665^2 + 13596^2 .

It is not a de Polignac number, because 216943441 - 2¹ = 216943439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216943397 and 216943406.

It is not an unprimeable number, because it can be changed into a prime (216943421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2106196 + ... + 2106298.

Almost surely, 2^216943441 is an apocalyptic number.

216943441 is the 14729-th square number.

216943441 is the 7365-th centered octagonal number.

It is an amenable number.

216943441 is a deficient number, since it is larger than the sum of its proper divisors (43800266).

216943441 is a wasteful number, since it uses less digits than its factorization.

216943441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The cubic root of 216943441 is about 600.8722877238.

Multiplying 216943441 by its product of digits (20736), we get a square (4498539192576 = 2120976²).

The spelling of 216943441 in words is "two hundred sixteen million, nine hundred forty-three thousand, four hundred forty-one".