314897312 has 36 divisors (see below), whose sum is σ = 642123846. Its totient is φ = 152006400.

The previous prime is 314897291. The next prime is 314897329. The reversal of 314897312 is 213798413.

It can be written as a sum of positive squares in 3 ways, for example, as 300120976 + 14776336 = 17324^2 + 3844^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21062 + ... + 32762.

Almost surely, 2^314897312 is an apocalyptic number.

314897312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321061923).

314897312 is an abundant number, since it is smaller than the sum of its proper divisors (327226534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314897312 is a wasteful number, since it uses less digits than its factorization.

314897312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11769 (or 11732 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 314897312 is about 17745.3462068228. The cubic root of 314897312 is about 680.3352671986.

The spelling of 314897312 in words is "three hundred fourteen million, eight hundred ninety-seven thousand, three hundred twelve".