310985 has 12 divisors (see below), whose sum is σ = 392844. Its totient is φ = 236160.

The previous prime is 310969. The next prime is 310987. The reversal of 310985 is 589013.

310985 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 6 ways, for example, as 48841 + 262144 = 221^2 + 512^2 .

It is not a de Polignac number, because 310985 - 2⁴ = 310969 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 310985.

It is not an unprimeable number, because it can be changed into a prime (310987) 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 11 ways as a sum of consecutive naturals, for example, 7565 + ... + 7605.

It is an arithmetic number, because the mean of its divisors is an integer number (32737).

2³¹⁰⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

310985 is a deficient number, since it is larger than the sum of its proper divisors (81859).

310985 is an equidigital number, since it uses as much as digits as its factorization.

310985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 310985 is about 557.6602908582. The cubic root of 310985 is about 67.7506002498.

Adding to 310985 its reverse (589013), we get a palindrome (899998).

The spelling of 310985 in words is "three hundred ten thousand, nine hundred eighty-five".