313967 has 4 divisors (see below), whose sum is σ = 319176. Its totient is φ = 308760.

The previous prime is 313961. The next prime is 313969. The reversal of 313967 is 769313.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769313 = 43 ⋅17891.

It is a cyclic number.

It is not a de Polignac number, because 313967 - 2⁸ = 313711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313967.

It is not an unprimeable number, because it can be changed into a prime (313961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2513 + ... + 2634.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

2³¹³⁹⁶⁷ is an apocalyptic number.

313967 is a deficient number, since it is larger than the sum of its proper divisors (5209).

313967 is an equidigital number, since it uses as much as digits as its factorization.

313967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208.

The product of its digits is 3402, while the sum is 29.

The square root of 313967 is about 560.3275827585. The cubic root of 313967 is about 67.9664627010.

The spelling of 313967 in words is "three hundred thirteen thousand, nine hundred sixty-seven".