311072 has 12 divisors (see below), whose sum is σ = 612486. Its totient is φ = 155520.

The previous prime is 311041. The next prime is 311099. The reversal of 311072 is 270113.

311072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 1936 = 556^2 + 44^2 .

It is an unprimeable number.

311072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4829 + ... + 4892.

2³¹¹⁰⁷² is an apocalyptic number.

311072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311072 is a deficient number, since it is larger than the sum of its proper divisors (301414).

311072 is an equidigital number, since it uses as much as digits as its factorization.

311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 311072 is about 557.7382898816. The cubic root of 311072 is about 67.7569175455.

Adding to 311072 its reverse (270113), we get a palindrome (581185).

The spelling of 311072 in words is "three hundred eleven thousand, seventy-two", and thus it is an iban number.