313635042 has 96 divisors (see below), whose sum is σ = 800077824. Its totient is φ = 86940000.

The previous prime is 313635037. The next prime is 313635073. The reversal of 313635042 is 240536313.

It is a happy number.

313635042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313634997 and 313635015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249417 + ... + 1249667.

It is an arithmetic number, because the mean of its divisors is an integer number (8334144).

Almost surely, 2^313635042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313635042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400038912).

313635042 is an abundant number, since it is smaller than the sum of its proper divisors (486442782).

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

313635042 is a wasteful number, since it uses less digits than its factorization.

313635042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 313635042 is about 17709.7442669283. The cubic root of 313635042 is about 679.4250055711.

The spelling of 313635042 in words is "three hundred thirteen million, six hundred thirty-five thousand, forty-two".