214200413 has 10 divisors (see below), whose sum is σ = 249888414. Its totient is φ = 183598296.

The previous prime is 214200383. The next prime is 214200439. The reversal of 214200413 is 314002412.

It can be written as a sum of positive squares in only one way, i.e., 206123449 + 8076964 = 14357^2 + 2842^2 .

It is not a de Polignac number, because 214200413 - 2¹⁸ = 213938269 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214200391 and 214200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214200913) 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 9 ways as a sum of consecutive naturals, for example, 42206 + ... + 47007.

Almost surely, 2^214200413 is an apocalyptic number.

It is an amenable number.

214200413 is a deficient number, since it is larger than the sum of its proper divisors (35688001).

214200413 is an frugal number, since it uses more digits than its factorization.

214200413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89241 (or 89220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214200413 is about 14635.5872106315. The cubic root of 214200413 is about 598.3290666969.

Adding to 214200413 its reverse (314002412), we get a palindrome (528202825).

The spelling of 214200413 in words is "two hundred fourteen million, two hundred thousand, four hundred thirteen".