313500834 has 32 divisors (see below), whose sum is σ = 700962240. Its totient is φ = 103856256.

The previous prime is 313500829. The next prime is 313500853. The reversal of 313500834 is 438005313.

It is a happy number.

313500834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313500798 and 313500807.

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, 9007 + ... + 26610.

It is an arithmetic number, because the mean of its divisors is an integer number (21905070).

Almost surely, 2^313500834 is an apocalyptic number.

313500834 is an abundant number, since it is smaller than the sum of its proper divisors (387461406).

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

313500834 is a wasteful number, since it uses less digits than its factorization.

313500834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35791 (or 35785 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 313500834 is about 17705.9547610401. The cubic root of 313500834 is about 679.3280805167.

The spelling of 313500834 in words is "three hundred thirteen million, five hundred thousand, eight hundred thirty-four".