314114201 has 16 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 301032000.

The previous prime is 314114189. The next prime is 314114209. The reversal of 314114201 is 102411413.

It is a happy number.

It is not a de Polignac number, because 314114201 - 2²⁶ = 247005337 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 314114201.

It is not an unprimeable number, because it can be changed into a prime (314114209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1251326 + ... + 1251576.

It is an arithmetic number, because the mean of its divisors is an integer number (20468700).

Almost surely, 2^314114201 is an apocalyptic number.

It is an amenable number.

314114201 is a deficient number, since it is larger than the sum of its proper divisors (13384999).

314114201 is a wasteful number, since it uses less digits than its factorization.

314114201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 314114201 is about 17723.2672213675. The cubic root of 314114201 is about 679.7708289162.

Adding to 314114201 its reverse (102411413), we get a palindrome (416525614).

The spelling of 314114201 in words is "three hundred fourteen million, one hundred fourteen thousand, two hundred one".