315441 has 16 divisors (see below), whose sum is σ = 534400. Its totient is φ = 180144.

The previous prime is 315437. The next prime is 315449. The reversal of 315441 is 144513.

It is a happy number.

It is not a de Polignac number, because 315441 - 2² = 315437 is a prime.

It is a super-3 number, since 3×315441³ = 94162000635933363, which contains 333 as substring.

It is a Duffinian number.

315441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (315449) 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 15 ways as a sum of consecutive naturals, for example, 646 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (33400).

2³¹⁵⁴⁴¹ is an apocalyptic number.

It is an amenable number.

315441 is a deficient number, since it is larger than the sum of its proper divisors (218959).

315441 is a wasteful number, since it uses less digits than its factorization.

315441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 315441 is about 561.6413446320. The cubic root of 315441 is about 68.0726587831.

Adding to 315441 its reverse (144513), we get a palindrome (459954).

The spelling of 315441 in words is "three hundred fifteen thousand, four hundred forty-one".