311481 has 12 divisors (see below), whose sum is σ = 459108. Its totient is φ = 203424.

The previous prime is 311473. The next prime is 311533. The reversal of 311481 is 184113.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 164025 = 384^2 + 405^2 .

It is not a de Polignac number, because 311481 - 2³ = 311473 is a prime.

It is a super-2 number, since 2×311481² = 194040826722, which contains 22 as substring.

311481 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311481.

It is not an unprimeable number, because it can be changed into a prime (311681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (38259).

2³¹¹⁴⁸¹ is an apocalyptic number.

It is an amenable number.

311481 is a deficient number, since it is larger than the sum of its proper divisors (147627).

311481 is a wasteful number, since it uses less digits than its factorization.

311481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 709 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 311481 is about 558.1048288628. The cubic root of 311481 is about 67.7866003227.

Adding to 311481 its reverse (184113), we get a palindrome (495594).

It can be divided in two parts, 3 and 11481, that multiplied together give a palindrome (34443).

The spelling of 311481 in words is "three hundred eleven thousand, four hundred eighty-one".