315045 has 12 divisors (see below), whose sum is σ = 546156. Its totient is φ = 168000.

The previous prime is 315037. The next prime is 315047. The reversal of 315045 is 540513.

315045 = T₂₄₆ + T₂₄₇ + ... + T₂₅₅.

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 191844 = 351^2 + 438^2 .

It is not a de Polignac number, because 315045 - 2³ = 315037 is a prime.

315045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315047) 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, 3456 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (45513).

2³¹⁵⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

315045 is a deficient number, since it is larger than the sum of its proper divisors (231111).

315045 is a wasteful number, since it uses less digits than its factorization.

315045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 315045 is about 561.2886957707. The cubic root of 315045 is about 68.0441610491.

Adding to 315045 its reverse (540513), we get a palindrome (855558).

The spelling of 315045 in words is "three hundred fifteen thousand, forty-five".