313349407 has 8 divisors (see below), whose sum is σ = 360311936. Its totient is φ = 266936472.

The previous prime is 313349293. The next prime is 313349417. The reversal of 313349407 is 704943313.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313349407 - 2¹⁹ = 312825119 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 (313349417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136173 + ... + 138454.

It is an arithmetic number, because the mean of its divisors is an integer number (45038992).

Almost surely, 2^313349407 is an apocalyptic number.

313349407 is a deficient number, since it is larger than the sum of its proper divisors (46962529).

313349407 is a wasteful number, since it uses less digits than its factorization.

313349407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274797.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 313349407 is about 17701.6780842947. The cubic root of 313349407 is about 679.2186866767.

The spelling of 313349407 in words is "three hundred thirteen million, three hundred forty-nine thousand, four hundred seven".