313321407 has 16 divisors (see below), whose sum is σ = 505527552. Its totient is φ = 168508800.

The previous prime is 313321399. The next prime is 313321409. The reversal of 313321407 is 704123313.

It is not a de Polignac number, because 313321407 - 2³ = 313321399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438469 + ... + 439182.

It is an arithmetic number, because the mean of its divisors is an integer number (31595472).

Almost surely, 2^313321407 is an apocalyptic number.

313321407 is a deficient number, since it is larger than the sum of its proper divisors (192206145).

313321407 is a wasteful number, since it uses less digits than its factorization.

313321407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877678.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 313321407 is about 17700.8871811556. The cubic root of 313321407 is about 679.1984550659.

The spelling of 313321407 in words is "three hundred thirteen million, three hundred twenty-one thousand, four hundred seven".