313993850 has 48 divisors (see below), whose sum is σ = 596821176. Its totient is φ = 122880000.

The previous prime is 313993843. The next prime is 313993871. The reversal of 313993850 is 58399313.

313993850 = 2009² + 2010² + ... + 2083².

It can be written as a sum of positive squares in 12 ways, for example, as 146627881 + 167365969 = 12109^2 + 12937^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 313993798 and 313993807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489530 + ... + 490170.

Almost surely, 2^313993850 is an apocalyptic number.

313993850 is a deficient number, since it is larger than the sum of its proper divisors (282827326).

313993850 is a wasteful number, since it uses less digits than its factorization.

313993850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 313993850 is about 17719.8716135304. The cubic root of 313993850 is about 679.6840011006.

The spelling of 313993850 in words is "three hundred thirteen million, nine hundred ninety-three thousand, eight hundred fifty".