314130401 has 16 divisors (see below), whose sum is σ = 357033600. Its totient is φ = 273984768.

The previous prime is 314130373. The next prime is 314130431. The reversal of 314130401 is 104031413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314130401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314130401.

It is not an unprimeable number, because it can be changed into a prime (314130431) 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, 106985 + ... + 109881.

It is an arithmetic number, because the mean of its divisors is an integer number (22314600).

Almost surely, 2^314130401 is an apocalyptic number.

It is an amenable number.

314130401 is a deficient number, since it is larger than the sum of its proper divisors (42903199).

314130401 is a wasteful number, since it uses less digits than its factorization.

314130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 314130401 is about 17723.7242418178. The cubic root of 314130401 is about 679.7825147914.

Adding to 314130401 its reverse (104031413), we get a palindrome (418161814).

The spelling of 314130401 in words is "three hundred fourteen million, one hundred thirty thousand, four hundred one".