314865936 has 240 divisors, whose sum is σ = 1116535680. Its totient is φ = 80455680.

The previous prime is 314865931. The next prime is 314865961. The reversal of 314865936 is 639568413.

It is a junction number, because it is equal to n+sod(n) for n = 314865891 and 314865900.

It is not an unprimeable number, because it can be changed into a prime (314865931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809230 + ... + 809618.

It is an arithmetic number, because the mean of its divisors is an integer number (4652232).

Almost surely, 2^314865936 is an apocalyptic number.

314865936 is a gapful number since it is divisible by the number (36) 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 314865936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558267840).

314865936 is an abundant number, since it is smaller than the sum of its proper divisors (801669744).

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

314865936 is a wasteful number, since it uses less digits than its factorization.

314865936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 314865936 is about 17744.4621220256. The cubic root of 314865936 is about 680.3126705113.

The spelling of 314865936 in words is "three hundred fourteen million, eight hundred sixty-five thousand, nine hundred thirty-six".