312081 has 24 divisors (see below), whose sum is σ = 530784. Its totient is φ = 161280.

The previous prime is 312073. The next prime is 312083. The reversal of 312081 is 180213.

It is a happy number.

It is not a de Polignac number, because 312081 - 2³ = 312073 is a prime.

It is a super-2 number, since 2×312081² = 194789101122, which contains 22 as substring.

It is a Curzon number.

312081 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 312081.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312081.

It is not an unprimeable number, because it can be changed into a prime (312083) 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 23 ways as a sum of consecutive naturals, for example, 1521 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (22116).

2³¹²⁰⁸¹ is an apocalyptic number.

It is an amenable number.

312081 is a deficient number, since it is larger than the sum of its proper divisors (218703).

312081 is a wasteful number, since it uses less digits than its factorization.

312081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 312081 is about 558.6421036764. The cubic root of 312081 is about 67.8300977568.

Adding to 312081 its reverse (180213), we get a palindrome (492294).

It can be divided in two parts, 31 and 2081, that added together give a palindrome (2112).

The spelling of 312081 in words is "three hundred twelve thousand, eighty-one".