214400117 has 2 divisors, whose sum is σ = 214400118. Its totient is φ = 214400116.

The previous prime is 214400093. The next prime is 214400129. The reversal of 214400117 is 711004412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209931121 + 4468996 = 14489^2 + 2114^2 .

It is a cyclic number.

It is not a de Polignac number, because 214400117 - 2¹⁶ = 214334581 is a prime.

It is a super-2 number, since 2×214400117² = 91934820339227378, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214400717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107200058 + 107200059.

It is an arithmetic number, because the mean of its divisors is an integer number (107200059).

Almost surely, 2^214400117 is an apocalyptic number.

It is an amenable number.

214400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

214400117 is an equidigital number, since it uses as much as digits as its factorization.

214400117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 214400117 is about 14642.4081694235. The cubic root of 214400117 is about 598.5149542830.

Adding to 214400117 its reverse (711004412), we get a palindrome (925404529).

The spelling of 214400117 in words is "two hundred fourteen million, four hundred thousand, one hundred seventeen".