311948 has 24 divisors (see below), whose sum is σ = 672672. Its totient is φ = 123264.

The previous prime is 311897. The next prime is 311951. The reversal of 311948 is 849113.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311948.

It is an unprimeable number.

311948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

2³¹¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

311948 is an abundant number, since it is smaller than the sum of its proper divisors (360724).

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

311948 is a wasteful number, since it uses less digits than its factorization.

311948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 311948 is about 558.5230523443. The cubic root of 311948 is about 67.8204606382.

The spelling of 311948 in words is "three hundred eleven thousand, nine hundred forty-eight".