214111305 has 48 divisors (see below), whose sum is σ = 378602640. Its totient is φ = 111919104.

The previous prime is 214111279. The next prime is 214111351. The reversal of 214111305 is 503111412.

It can be written as a sum of positive squares in 8 ways, for example, as 58660281 + 155451024 = 7659^2 + 12468^2 .

It is not a de Polignac number, because 214111305 - 2¹² = 214107209 is a prime.

It is a super-3 number, since 3×214111305³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772827 + ... + 773103.

It is an arithmetic number, because the mean of its divisors is an integer number (7887555).

Almost surely, 2^214111305 is an apocalyptic number.

It is an amenable number.

214111305 is a deficient number, since it is larger than the sum of its proper divisors (164491335).

214111305 is a wasteful number, since it uses less digits than its factorization.

214111305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 214111305 is about 14632.5426703632. The cubic root of 214111305 is about 598.2460863070.

Adding to 214111305 its reverse (503111412), we get a palindrome (717222717).

The spelling of 214111305 in words is "two hundred fourteen million, one hundred eleven thousand, three hundred five".