216701441 has 30 divisors (see below), whose sum is σ = 257712210. Its totient is φ = 182080800.

The previous prime is 216701411. The next prime is 216701461. The reversal of 216701441 is 144107612.

It can be written as a sum of positive squares in only one way, i.e., 132135025 + 84566416 = 11495^2 + 9196^2 .

It is not a de Polignac number, because 216701441 - 2¹⁴ = 216685057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216701441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216701411) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5285381 + ... + 5285421.

It is an arithmetic number, because the mean of its divisors is an integer number (8590407).

Almost surely, 2^216701441 is an apocalyptic number.

It is an amenable number.

216701441 is a deficient number, since it is larger than the sum of its proper divisors (41010769).

216701441 is an frugal number, since it uses more digits than its factorization.

216701441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 216701441 is about 14720.7826218581. The cubic root of 216701441 is about 600.6487806274.

The spelling of 216701441 in words is "two hundred sixteen million, seven hundred one thousand, four hundred forty-one".