314131000 has 64 divisors (see below), whose sum is σ = 749062080. Its totient is φ = 123260800.

The previous prime is 314130991. The next prime is 314131007. The reversal of 314131000 is 131413.

It is a super-2 number, since 2×314131000² = 197356570322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314131007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50037 + ... + 55963.

It is an arithmetic number, because the mean of its divisors is an integer number (11704095).

Almost surely, 2^314131000 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 314131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374531040).

314131000 is an abundant number, since it is smaller than the sum of its proper divisors (434931080).

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

314131000 is a wasteful number, since it uses less digits than its factorization.

314131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 314131000 is about 17723.7411400641. The cubic root of 314131000 is about 679.7829468726.

Adding to 314131000 its reverse (131413), we get a palindrome (314262413).

The spelling of 314131000 in words is "three hundred fourteen million, one hundred thirty-one thousand".