314138305 has 32 divisors (see below), whose sum is σ = 431303040. Its totient is φ = 217728000.

The previous prime is 314138299. The next prime is 314138311. The reversal of 314138305 is 503831413.

It is an interprime number because it is at equal distance from previous prime (314138299) and next prime (314138311).

It is not a de Polignac number, because 314138305 - 2¹⁵ = 314105537 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138430 + ... + 140680.

It is an arithmetic number, because the mean of its divisors is an integer number (13478220).

Almost surely, 2^314138305 is an apocalyptic number.

It is an amenable number.

314138305 is a deficient number, since it is larger than the sum of its proper divisors (117164735).

314138305 is a wasteful number, since it uses less digits than its factorization.

314138305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 314138305 is about 17723.9472183823. The cubic root of 314138305 is about 679.7882161986.

Adding to 314138305 its reverse (503831413), we get a palindrome (817969718).

The spelling of 314138305 in words is "three hundred fourteen million, one hundred thirty-eight thousand, three hundred five".