311380 has 12 divisors (see below), whose sum is σ = 653940. Its totient is φ = 124544.

The previous prime is 311371. The next prime is 311393. The reversal of 311380 is 83113.

It can be written as a sum of positive squares in 2 ways, for example, as 114244 + 197136 = 338^2 + 444^2 .

It is a congruent number.

It is an unprimeable number.

311380 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, 7765 + ... + 7804.

It is an arithmetic number, because the mean of its divisors is an integer number (54495).

2³¹¹³⁸⁰ is an apocalyptic number.

It is an amenable number.

311380 is an abundant number, since it is smaller than the sum of its proper divisors (342560).

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

311380 is a wasteful number, since it uses less digits than its factorization.

311380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15578 (or 15576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 311380 is about 558.0143367334. The cubic root of 311380 is about 67.7792727631.

Subtracting from 311380 its sum of digits (16), we obtain a square (311364 = 558²).

Adding to 311380 its reverse (83113), we get a palindrome (394493).

The spelling of 311380 in words is "three hundred eleven thousand, three hundred eighty".