311630085 has 120 divisors (see below), whose sum is σ = 629746920. Its totient is φ = 147184128.

The previous prime is 311630051. The next prime is 311630087. The reversal of 311630085 is 580036113.

It can be written as a sum of positive squares in 12 ways, for example, as 205807716 + 105822369 = 14346^2 + 10287^2 .

It is not a de Polignac number, because 311630085 - 2¹² = 311625989 is a prime.

It is a super-2 number, since 2×311630085² = 194226619754214450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311630087) 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 119 ways as a sum of consecutive naturals, for example, 1984827 + ... + 1984983.

It is an arithmetic number, because the mean of its divisors is an integer number (5247891).

Almost surely, 2^311630085 is an apocalyptic number.

It is an amenable number.

311630085 is an abundant number, since it is smaller than the sum of its proper divisors (318116835).

311630085 is a wasteful number, since it uses less digits than its factorization.

311630085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 311630085 is about 17653.0474706210. The cubic root of 311630085 is about 677.9741355941.

Adding to 311630085 its reverse (580036113), we get a palindrome (891666198).

The spelling of 311630085 in words is "three hundred eleven million, six hundred thirty thousand, eighty-five".