311971 has 8 divisors (see below), whose sum is σ = 345600. Its totient is φ = 279240.

The previous prime is 311963. The next prime is 311981. The reversal of 311971 is 179113.

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

It is a cyclic number.

It is not a de Polignac number, because 311971 - 2³ = 311963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311951) 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, 690 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2³¹¹⁹⁷¹ is an apocalyptic number.

311971 is a deficient number, since it is larger than the sum of its proper divisors (33629).

311971 is a wasteful number, since it uses less digits than its factorization.

311971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its digits is 189, while the sum is 22.

The square root of 311971 is about 558.5436419833. The cubic root of 311971 is about 67.8221274035.

It can be divided in two parts, 31 and 1971, that added together give a palindrome (2002).

The spelling of 311971 in words is "three hundred eleven thousand, nine hundred seventy-one".