314459289 has 27 divisors (see below), whose sum is σ = 476681023. Its totient is φ = 199744512.

The previous prime is 314459279. The next prime is 314459293. The reversal of 314459289 is 982954413.

The square root of 314459289 is 17733.

It is a perfect power (a square), and thus also a powerful number.

314459289 is a `hidden beast` number, since 314 + 4 + 59 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309584025 + 4875264 = 17595^2 + 2208^2 .

It is a de Polignac number, because none of the positive numbers 2^k-314459289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314459279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1223449 + ... + 1223705.

Almost surely, 2^314459289 is an apocalyptic number.

314459289 is the 17733-rd square number.

314459289 is the 8867-th centered octagonal number.

It is an amenable number.

314459289 is a deficient number, since it is larger than the sum of its proper divisors (162221734).

314459289 is an equidigital number, since it uses as much as digits as its factorization.

314459289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 314459289 is about 680.0196714321.

The spelling of 314459289 in words is "three hundred fourteen million, four hundred fifty-nine thousand, two hundred eighty-nine".