314065136 has 80 divisors (see below), whose sum is σ = 798639360. Its totient is φ = 115914240.

The previous prime is 314065133. The next prime is 314065181. The reversal of 314065136 is 631560413.

It is a happy number.

It is a super-3 number, since 3×314065136³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314065099 and 314065108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314065133) 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 15 ways as a sum of consecutive naturals, for example, 16700 + ... + 30116.

It is an arithmetic number, because the mean of its divisors is an integer number (9982992).

Almost surely, 2^314065136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399319680).

314065136 is an abundant number, since it is smaller than the sum of its proper divisors (484574224).

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

314065136 is a wasteful number, since it uses less digits than its factorization.

314065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13456 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 314065136 is about 17721.8829699330. The cubic root of 314065136 is about 679.7354334110.

The spelling of 314065136 in words is "three hundred fourteen million, sixty-five thousand, one hundred thirty-six".