313355 has 12 divisors (see below), whose sum is σ = 437760. Its totient is φ = 214704.

The previous prime is 313351. The next prime is 313373. The reversal of 313355 is 553313.

It is not a de Polignac number, because 313355 - 2² = 313351 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313355.

It is not an unprimeable number, because it can be changed into a prime (313351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (36480).

2³¹³³⁵⁵ is an apocalyptic number.

313355 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

313355 is a deficient number, since it is larger than the sum of its proper divisors (124405).

313355 is a wasteful number, since it uses less digits than its factorization.

313355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its digits is 675, while the sum is 20.

The square root of 313355 is about 559.7812072587. The cubic root of 313355 is about 67.9222727797.

Adding to 313355 its reverse (553313), we get a palindrome (866668).

The spelling of 313355 in words is "three hundred thirteen thousand, three hundred fifty-five".