313191 has 24 divisors (see below), whose sum is σ = 505440. Its totient is φ = 185856.

The previous prime is 313163. The next prime is 313207. The reversal of 313191 is 191313.

It is not a de Polignac number, because 313191 - 2⁶ = 313127 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313151) 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 23 ways as a sum of consecutive naturals, for example, 3475 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2³¹³¹⁹¹ is an apocalyptic number.

313191 is a deficient number, since it is larger than the sum of its proper divisors (192249).

313191 is a wasteful number, since it uses less digits than its factorization.

313191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 313191 is about 559.6347022836. The cubic root of 313191 is about 67.9104212624.

The spelling of 313191 in words is "three hundred thirteen thousand, one hundred ninety-one".