311321322 has 72 divisors (see below), whose sum is σ = 755808300. Its totient is φ = 92461824.

The previous prime is 311321321. The next prime is 311321341. The reversal of 311321322 is 223123113.

311321322 is a `hidden beast` number, since 311 + 32 + 1 + 322 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8874441 + 302446881 = 2979^2 + 17391^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311321295 and 311321304.

It is not an unprimeable number, because it can be changed into a prime (311321321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86454 + ... + 89982.

Almost surely, 2^311321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377904150).

311321322 is an abundant number, since it is smaller than the sum of its proper divisors (444486978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311321322 is a wasteful number, since it uses less digits than its factorization.

311321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3576 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 311321322 is about 17644.2999861145. The cubic root of 311321322 is about 677.7501494088.

Adding to 311321322 its reverse (223123113), we get a palindrome (534444435).

The spelling of 311321322 in words is "three hundred eleven million, three hundred twenty-one thousand, three hundred twenty-two".