311649 has 16 divisors (see below), whose sum is σ = 458304. Its totient is φ = 187200.

The previous prime is 311609. The next prime is 311653. The reversal of 311649 is 946113.

It is not a de Polignac number, because 311649 - 2⁸ = 311393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2314 + ... + 2444.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2³¹¹⁶⁴⁹ is an apocalyptic number.

311649 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

311649 is a deficient number, since it is larger than the sum of its proper divisors (146655).

311649 is a wasteful number, since it uses less digits than its factorization.

311649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 648, while the sum is 24.

The square root of 311649 is about 558.2553179326. The cubic root of 311649 is about 67.7987852307.

The spelling of 311649 in words is "three hundred eleven thousand, six hundred forty-nine".