311620 has 12 divisors (see below), whose sum is σ = 654444. Its totient is φ = 124640.

The previous prime is 311609. The next prime is 311653. The reversal of 311620 is 26113.

311620 is nontrivially palindromic in base 13.

311620 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 207936 = 322^2 + 456^2 .

311620 is an undulating number in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 311620.

It is an unprimeable number.

311620 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 in 3 ways as a sum of consecutive naturals, for example, 7771 + ... + 7810.

It is an arithmetic number, because the mean of its divisors is an integer number (54537).

2³¹¹⁶²⁰ is an apocalyptic number.

It is an amenable number.

311620 is an abundant number, since it is smaller than the sum of its proper divisors (342824).

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

311620 is a wasteful number, since it uses less digits than its factorization.

311620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15590 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 311620 is about 558.2293435498. The cubic root of 311620 is about 67.7966821963.

Adding to 311620 its reverse (26113), we get a palindrome (337733).

It can be divided in two parts, 3116 and 20, that added together give a square (3136 = 56²).

The spelling of 311620 in words is "three hundred eleven thousand, six hundred twenty".