313800067 has 32 divisors (see below), whose sum is σ = 388800000. Its totient is φ = 252449568.

The previous prime is 313800041. The next prime is 313800079. The reversal of 313800067 is 760008313.

It is not a de Polignac number, because 313800067 - 2²³ = 305411459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313800037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1166409 + ... + 1166677.

It is an arithmetic number, because the mean of its divisors is an integer number (12150000).

Almost surely, 2^313800067 is an apocalyptic number.

313800067 is a deficient number, since it is larger than the sum of its proper divisors (74999933).

313800067 is a wasteful number, since it uses less digits than its factorization.

313800067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 313800067 is about 17714.4028124010. The cubic root of 313800067 is about 679.5441487760.

The spelling of 313800067 in words is "three hundred thirteen million, eight hundred thousand, sixty-seven".