311105964 has 48 divisors (see below), whose sum is σ = 785880032. Its totient is φ = 95219712.

The previous prime is 311105959. The next prime is 311105983. The reversal of 311105964 is 469501113.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24942 + ... + 35274.

Almost surely, 2^311105964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311105964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392940016).

311105964 is an abundant number, since it is smaller than the sum of its proper divisors (474774068).

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

311105964 is a wasteful number, since it uses less digits than its factorization.

311105964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10546 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 311105964 is about 17638.1961662751. The cubic root of 311105964 is about 677.5938344000.

The spelling of 311105964 in words is "three hundred eleven million, one hundred five thousand, nine hundred sixty-four".