180315 has 12 divisors (see below), whose sum is σ = 312624. Its totient is φ = 96144.

The previous prime is 180311. The next prime is 180317. The reversal of 180315 is 513081.

It is a happy number.

180315 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180315 - 2² = 180311 is a prime.

180315 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180315.

It is not an unprimeable number, because it can be changed into a prime (180311) 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, 1959 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (26052).

2¹⁸⁰³¹⁵ is an apocalyptic number.

180315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

180315 is a deficient number, since it is larger than the sum of its proper divisors (132309).

180315 is a wasteful number, since it uses less digits than its factorization.

180315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 180315 is about 424.6351375004. The cubic root of 180315 is about 56.4950787997.

Adding to 180315 its reverse (513081), we get a palindrome (693396).

The spelling of 180315 in words is "one hundred eighty thousand, three hundred fifteen".