314400201 has 16 divisors (see below), whose sum is σ = 442295040. Its totient is φ = 198104400.

The previous prime is 314400199. The next prime is 314400217. The reversal of 314400201 is 102004413.

It is not a de Polignac number, because 314400201 - 2¹ = 314400199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314400241) 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 in 15 ways as a sum of consecutive naturals, for example, 19026 + ... + 31476.

It is an arithmetic number, because the mean of its divisors is an integer number (27643440).

Almost surely, 2^314400201 is an apocalyptic number.

It is an amenable number.

314400201 is a deficient number, since it is larger than the sum of its proper divisors (127894839).

314400201 is a wasteful number, since it uses less digits than its factorization.

314400201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314400201 is about 17731.3338753744. Note that the first 3 decimals coincide. The cubic root of 314400201 is about 679.9770760726.

Adding to 314400201 its reverse (102004413), we get a palindrome (416404614).

The spelling of 314400201 in words is "three hundred fourteen million, four hundred thousand, two hundred one".