315409 has 2 divisors, whose sum is σ = 315410. Its totient is φ = 315408.

The previous prime is 315407. The next prime is 315421. The reversal of 315409 is 904513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 115600 = 447^2 + 340^2 .

It is an emirp because it is prime and its reverse (904513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 315409 - 2¹ = 315407 is a prime.

It is a super-3 number, since 3×315409³ = 94133346671888787, which contains 333 as substring.

Together with 315407, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315409.

It is not a weakly prime, because it can be changed into another prime (315407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157704 + 157705.

It is an arithmetic number, because the mean of its divisors is an integer number (157705).

2³¹⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

315409 is a deficient number, since it is larger than the sum of its proper divisors (1).

315409 is an equidigital number, since it uses as much as digits as its factorization.

315409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 315409 is about 561.6128559782. The cubic root of 315409 is about 68.0703568220.

The spelling of 315409 in words is "three hundred fifteen thousand, four hundred nine".