311512 has 16 divisors (see below), whose sum is σ = 609840. Its totient is φ = 148896.

The previous prime is 311473. The next prime is 311533. The reversal of 311512 is 215113.

It is a super-2 number, since 2×311512² = 194079452288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311492 and 311501.

It is a congruent number.

It is an unprimeable number.

311512 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 663 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

2³¹¹⁵¹² is an apocalyptic number.

It is an amenable number.

311512 is a deficient number, since it is larger than the sum of its proper divisors (298328).

311512 is a wasteful number, since it uses less digits than its factorization.

311512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 311512 is about 558.1326007321. The cubic root of 311512 is about 67.7888490579.

Adding to 311512 its reverse (215113), we get a palindrome (526625).

The spelling of 311512 in words is "three hundred eleven thousand, five hundred twelve".