314653201 has 2 divisors, whose sum is σ = 314653202. Its totient is φ = 314653200.

The previous prime is 314653151. The next prime is 314653211. The reversal of 314653201 is 102356413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309724801 + 4928400 = 17599^2 + 2220^2 .

It is an emirp because it is prime and its reverse (102356413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314653201 - 2¹⁷ = 314522129 is a prime.

It is equal to p_17002384 and since 314653201 and 17002384 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (314653211) 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 as a sum of consecutive naturals, namely, 157326600 + 157326601.

It is an arithmetic number, because the mean of its divisors is an integer number (157326601).

Almost surely, 2^314653201 is an apocalyptic number.

It is an amenable number.

314653201 is a deficient number, since it is larger than the sum of its proper divisors (1).

314653201 is an equidigital number, since it uses as much as digits as its factorization.

314653201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 314653201 is about 17738.4667037487. The cubic root of 314653201 is about 680.1594212436.

The spelling of 314653201 in words is "three hundred fourteen million, six hundred fifty-three thousand, two hundred one".