314213000 has 32 divisors (see below), whose sum is σ = 735260760. Its totient is φ = 125684800.

The previous prime is 314212967. The next prime is 314213041. The reversal of 314213000 is 312413.

It can be written as a sum of positive squares in 4 ways, for example, as 132664324 + 181548676 = 11518^2 + 13474^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 156107 + ... + 158106.

Almost surely, 2^314213000 is an apocalyptic number.

It is an amenable number.

314213000 is an abundant number, since it is smaller than the sum of its proper divisors (421047760).

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

314213000 is a wasteful number, since it uses less digits than its factorization.

314213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314234 (or 314220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 314213000 is about 17726.0542704799. The cubic root of 314213000 is about 679.8420913612.

Adding to 314213000 its reverse (312413), we get a palindrome (314525413).

The spelling of 314213000 in words is "three hundred fourteen million, two hundred thirteen thousand".