311961 has 16 divisors (see below), whose sum is σ = 472640. Its totient is φ = 181440.

The previous prime is 311957. The next prime is 311963. The reversal of 311961 is 169113.

It is a happy number.

It is not a de Polignac number, because 311961 - 2² = 311957 is a prime.

It is a Duffinian number.

It is a Curzon number.

311961 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311961.

It is not an unprimeable number, because it can be changed into a prime (311963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (29540).

2³¹¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

311961 is a deficient number, since it is larger than the sum of its proper divisors (160679).

311961 is a wasteful number, since it uses less digits than its factorization.

311961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its digits is 162, while the sum is 21.

The square root of 311961 is about 558.5346900596. The cubic root of 311961 is about 67.8214027330.

The spelling of 311961 in words is "three hundred eleven thousand, nine hundred sixty-one".