314837964 has 72 divisors (see below), whose sum is σ = 911409408. Its totient is φ = 89768160.

The previous prime is 314837951. The next prime is 314837969. The reversal of 314837964 is 469738413.

It is not an unprimeable number, because it can be changed into a prime (314837969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162079 + ... + 164009.

It is an arithmetic number, because the mean of its divisors is an integer number (12658464).

Almost surely, 2^314837964 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 314837964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455704704).

314837964 is an abundant number, since it is smaller than the sum of its proper divisors (596571444).

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

314837964 is a wasteful number, since it uses less digits than its factorization.

314837964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2590 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 314837964 is about 17743.6739149478. The cubic root of 314837964 is about 680.2925240855.

The spelling of 314837964 in words is "three hundred fourteen million, eight hundred thirty-seven thousand, nine hundred sixty-four".