311385 has 8 divisors (see below), whose sum is σ = 498240. Its totient is φ = 166064.

The previous prime is 311371. The next prime is 311393. The reversal of 311385 is 583113.

It is a happy number.

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 311385 - 2¹⁰ = 310361 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311385.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10365 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (62280).

2³¹¹³⁸⁵ is an apocalyptic number.

It is an amenable number.

311385 is a deficient number, since it is larger than the sum of its proper divisors (186855).

311385 is a wasteful number, since it uses less digits than its factorization.

311385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767.

The product of its digits is 360, while the sum is 21.

The square root of 311385 is about 558.0188168870. The cubic root of 311385 is about 67.7796355508.

Subtracting from 311385 its sum of digits (21), we obtain a square (311364 = 558²).

Adding to 311385 its reverse (583113), we get a palindrome (894498).

It can be divided in two parts, 311 and 385, that added together give a palindrome (696).

The spelling of 311385 in words is "three hundred eleven thousand, three hundred eighty-five".