312481 has 9 divisors (see below), whose sum is σ = 346419. Its totient is φ = 281736.

The previous prime is 312469. The next prime is 312509. The reversal of 312481 is 184213.

The square root of 312481 is 559.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46225 + 266256 = 215^2 + 516^2 .

It is not a de Polignac number, because 312481 - 2⁷ = 312353 is a prime.

It is a super-2 number, since 2×312481² = 195288750722, which contains 22 as substring.

It is a Duffinian number.

312481 is a modest number, since divided by 481 gives 312 as remainder.

312481 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (312401) 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 8 ways as a sum of consecutive naturals, for example, 7246 + ... + 7288.

It is an arithmetic number, because the mean of its divisors is an integer number (38491).

2³¹²⁴⁸¹ is an apocalyptic number.

312481 is the 559-th square number.

312481 is the 280-th centered octagonal number.

It is an amenable number.

312481 is a deficient number, since it is larger than the sum of its proper divisors (33938).

312481 is an equidigital number, since it uses as much as digits as its factorization.

312481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The cubic root of 312481 is about 67.8590650821.

Adding to 312481 its reverse (184213), we get a palindrome (496694).

The spelling of 312481 in words is "three hundred twelve thousand, four hundred eighty-one".