311682321 has 12 divisors (see below), whose sum is σ = 450373248. Its totient is φ = 207711864.

The previous prime is 311682317. The next prime is 311682323. The reversal of 311682321 is 123286113.

It is a happy number.

It is not a de Polignac number, because 311682321 - 2² = 311682317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311682323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31096 + ... + 39878.

It is an arithmetic number, because the mean of its divisors is an integer number (37531104).

Almost surely, 2^311682321 is an apocalyptic number.

It is an amenable number.

311682321 is a deficient number, since it is larger than the sum of its proper divisors (138690927).

311682321 is a wasteful number, since it uses less digits than its factorization.

311682321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732 (or 12729 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 311682321 is about 17654.5269265421. The cubic root of 311682321 is about 678.0120145625.

It can be divided in two parts, 31168 and 2321, that added together give a square (33489 = 183²).

The spelling of 311682321 in words is "three hundred eleven million, six hundred eighty-two thousand, three hundred twenty-one".