314213020 has 96 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 111072000.

The previous prime is 314212967. The next prime is 314213041. The reversal of 314213020 is 20312413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314212985 and 314213003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1755291 + ... + 1755469.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^314213020 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 314213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

314213020 is an abundant number, since it is smaller than the sum of its proper divisors (426062180).

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

314213020 is a wasteful number, since it uses less digits than its factorization.

314213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314213020 is about 17726.0548346213. The cubic root of 314213020 is about 679.8421057854.

Adding to 314213020 its reverse (20312413), we get a palindrome (334525433).

The spelling of 314213020 in words is "three hundred fourteen million, two hundred thirteen thousand, twenty".