314312967 has 24 divisors (see below), whose sum is σ = 474037200. Its totient is φ = 208111680.

The previous prime is 314312951. The next prime is 314312969. The reversal of 314312967 is 769213413.

It is not a de Polignac number, because 314312967 - 2⁴ = 314312951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314312969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31867 + ... + 40547.

It is an arithmetic number, because the mean of its divisors is an integer number (19751550).

Almost surely, 2^314312967 is an apocalyptic number.

314312967 is a deficient number, since it is larger than the sum of its proper divisors (159724233).

314312967 is an equidigital number, since it uses as much as digits as its factorization.

314312967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845 (or 8833 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 314312967 is about 17728.8738221016. The cubic root of 314312967 is about 679.9141810671.

It can be divided in two parts, 3143 and 12967, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 314312967 in words is "three hundred fourteen million, three hundred twelve thousand, nine hundred sixty-seven".