314523864 has 64 divisors (see below), whose sum is σ = 883548000. Its totient is φ = 103656960.

The previous prime is 314523857. The next prime is 314523871. The reversal of 314523864 is 468325413.

314523864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314523857) and next prime (314523871).

It is a super-2 number, since 2×314523864² = 197850522050980992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11044 + ... + 27404.

Almost surely, 2^314523864 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 314523864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441774000).

314523864 is an abundant number, since it is smaller than the sum of its proper divisors (569024136).

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

314523864 is a wasteful number, since it uses less digits than its factorization.

314523864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16465 (or 16455 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 314523864 is about 17734.8206644443. The cubic root of 314523864 is about 680.0662161586.

The spelling of 314523864 in words is "three hundred fourteen million, five hundred twenty-three thousand, eight hundred sixty-four".