314896329 has 90 divisors (see below), whose sum is σ = 551828970. Its totient is φ = 178770240.

The previous prime is 314896327. The next prime is 314896331. The reversal of 314896329 is 923698413.

It is a happy number.

314896329 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 9 + 632 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (314896327) and next prime (314896331).

It can be written as a sum of positive squares in only one way, i.e., 226442304 + 88454025 = 15048^2 + 9405^2 .

It is not a de Polignac number, because 314896329 - 2¹ = 314896327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314896327) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3538117 + ... + 3538205.

It is an arithmetic number, because the mean of its divisors is an integer number (6131433).

Almost surely, 2^314896329 is an apocalyptic number.

It is an amenable number.

314896329 is a deficient number, since it is larger than the sum of its proper divisors (236932641).

314896329 is a wasteful number, since it uses less digits than its factorization.

314896329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 314896329 is about 17745.3185093985. The cubic root of 314896329 is about 680.3345592745.

The spelling of 314896329 in words is "three hundred fourteen million, eight hundred ninety-six thousand, three hundred twenty-nine".