311164 has 12 divisors (see below), whose sum is σ = 622384. Its totient is φ = 133344.

The previous prime is 311153. The next prime is 311173. The reversal of 311164 is 461113.

311164 is an admirable number.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5529 + ... + 5584.

2³¹¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

311164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

311164 is a wasteful number, since it uses less digits than its factorization.

311164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124 (or 11122 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 311164 is about 557.8207597428. The cubic root of 311164 is about 67.7635966230.

Adding to 311164 its reverse (461113), we get a palindrome (772277).

The spelling of 311164 in words is "three hundred eleven thousand, one hundred sixty-four".