315135 has 24 divisors (see below), whose sum is σ = 561600. Its totient is φ = 163392.

The previous prime is 315127. The next prime is 315179. The reversal of 315135 is 531513.

It is a happy number.

It is not a de Polignac number, because 315135 - 2³ = 315127 is a prime.

It is a nude number because it is divisible by every one of its digits.

315135 is a lucky number.

It is a plaindrome in base 16.

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 315135.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2³¹⁵¹³⁵ is an apocalyptic number.

315135 is a deficient number, since it is larger than the sum of its proper divisors (246465).

315135 is a wasteful number, since it uses less digits than its factorization.

315135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 315135 is about 561.3688626919. The cubic root of 315135 is about 68.0506399029.

Adding to 315135 its reverse (531513), we get a palindrome (846648).

The spelling of 315135 in words is "three hundred fifteen thousand, one hundred thirty-five".