313291 has 8 divisors (see below), whose sum is σ = 360000. Its totient is φ = 269640.

The previous prime is 313289. The next prime is 313297. The reversal of 313291 is 192313.

313291 = 226² + 227² + ... + 231².

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 313291 - 2¹ = 313289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

313291 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (313297) 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 7 ways as a sum of consecutive naturals, for example, 541 + ... + 958.

It is an arithmetic number, because the mean of its divisors is an integer number (45000).

2³¹³²⁹¹ is an apocalyptic number.

313291 is a deficient number, since it is larger than the sum of its proper divisors (46709).

313291 is a wasteful number, since it uses less digits than its factorization.

313291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529.

The product of its digits is 162, while the sum is 19.

The square root of 313291 is about 559.7240391479. The cubic root of 313291 is about 67.9176482894.

It can be divided in two parts, 3132 and 91, that added together give a palindrome (3223).

The spelling of 313291 in words is "three hundred thirteen thousand, two hundred ninety-one".