313999000 has 128 divisors (see below), whose sum is σ = 867409920. Its totient is φ = 104112000.

The previous prime is 313998953. The next prime is 313999069. The reversal of 313999000 is 999313.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216277 + ... + 217723.

It is an arithmetic number, because the mean of its divisors is an integer number (6776640).

Almost surely, 2^313999000 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 313999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433704960).

313999000 is an abundant number, since it is smaller than the sum of its proper divisors (553410920).

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

313999000 is a wasteful number, since it uses less digits than its factorization.

313999000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 34.

The square root of 313999000 is about 17720.0169300145. The cubic root of 313999000 is about 679.6877170475.

The spelling of 313999000 in words is "three hundred thirteen million, nine hundred ninety-nine thousand".