214038617 has 8 divisors (see below), whose sum is σ = 230711880. Its totient is φ = 197395200.

The previous prime is 214038593. The next prime is 214038631. The reversal of 214038617 is 716830412.

214038617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 177241 + 213861376 = 421^2 + 14624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214038617 - 2⁸ = 214038361 is a prime.

It is a super-3 number, since 3×214038617³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214038637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8759 + ... + 22467.

It is an arithmetic number, because the mean of its divisors is an integer number (28838985).

Almost surely, 2^214038617 is an apocalyptic number.

It is an amenable number.

214038617 is a deficient number, since it is larger than the sum of its proper divisors (16673263).

214038617 is a wasteful number, since it uses less digits than its factorization.

214038617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 214038617 is about 14630.0586806752. The cubic root of 214038617 is about 598.1783797259.

The spelling of 214038617 in words is "two hundred fourteen million, thirty-eight thousand, six hundred seventeen".