314697312 has 120 divisors (see below), whose sum is σ = 930859776. Its totient is φ = 104295168.

The previous prime is 314697311. The next prime is 314697343. The reversal of 314697312 is 213796413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314697311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 821473 + ... + 821855.

Almost surely, 2^314697312 is an apocalyptic number.

314697312 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 314697312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465429888).

314697312 is an abundant number, since it is smaller than the sum of its proper divisors (616162464).

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

314697312 is a wasteful number, since it uses less digits than its factorization.

314697312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 705 counting only the distinct ones).

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

The square root of 314697312 is about 17739.7100314520. The cubic root of 314697312 is about 680.1912034409.

It can be divided in two parts, 31469 and 7312, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 314697312 in words is "three hundred fourteen million, six hundred ninety-seven thousand, three hundred twelve".