314400521 has 2 divisors, whose sum is σ = 314400522. Its totient is φ = 314400520.

The previous prime is 314400511. The next prime is 314400523. The reversal of 314400521 is 125004413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311875600 + 2524921 = 17660^2 + 1589^2 .

It is a cyclic number.

It is not a de Polignac number, because 314400521 - 2²⁶ = 247291657 is a prime.

Together with 314400523, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314400493 and 314400502.

It is not a weakly prime, because it can be changed into another prime (314400523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157200260 + 157200261.

It is an arithmetic number, because the mean of its divisors is an integer number (157200261).

Almost surely, 2^314400521 is an apocalyptic number.

It is an amenable number.

314400521 is a deficient number, since it is larger than the sum of its proper divisors (1).

314400521 is an equidigital number, since it uses as much as digits as its factorization.

314400521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 314400521 is about 17731.3428989459. The cubic root of 314400521 is about 679.9773067686.

Adding to 314400521 its reverse (125004413), we get a palindrome (439404934).

The spelling of 314400521 in words is "three hundred fourteen million, four hundred thousand, five hundred twenty-one".