313364007 has 48 divisors (see below), whose sum is σ = 506188800. Its totient is φ = 185215680.

The previous prime is 313364003. The next prime is 313364011. The reversal of 313364007 is 700463313.

It is a happy number.

313364007 is a `hidden beast` number, since 3 + 13 + 3 + 640 + 0 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (313364003) and next prime (313364011).

It is not a de Polignac number, because 313364007 - 2² = 313364003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313364003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805369 + ... + 805757.

It is an arithmetic number, because the mean of its divisors is an integer number (10545600).

Almost surely, 2^313364007 is an apocalyptic number.

313364007 is a deficient number, since it is larger than the sum of its proper divisors (192824793).

313364007 is a wasteful number, since it uses less digits than its factorization.

313364007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 313364007 is about 17702.0904697722. The cubic root of 313364007 is about 679.2292355385.

The spelling of 313364007 in words is "three hundred thirteen million, three hundred sixty-four thousand, seven".