311411321 has 8 divisors (see below), whose sum is σ = 355093704. Its totient is φ = 270547200.

The previous prime is 311411297. The next prime is 311411327. The reversal of 311411321 is 123114113.

It can be written as a sum of positive squares in 4 ways, for example, as 72863296 + 238548025 = 8536^2 + 15445^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311411321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311411321.

It is not an unprimeable number, because it can be changed into a prime (311411327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704330 + ... + 704771.

It is an arithmetic number, because the mean of its divisors is an integer number (44386713).

Almost surely, 2^311411321 is an apocalyptic number.

It is an amenable number.

311411321 is a deficient number, since it is larger than the sum of its proper divisors (43682383).

311411321 is a wasteful number, since it uses less digits than its factorization.

311411321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409131.

The product of its digits is 72, while the sum is 17.

The square root of 311411321 is about 17646.8501721979. The cubic root of 311411321 is about 677.8154527407.

Adding to 311411321 its reverse (123114113), we get a palindrome (434525434).

The spelling of 311411321 in words is "three hundred eleven million, four hundred eleven thousand, three hundred twenty-one".