180815 has 12 divisors (see below), whose sum is σ = 229944. Its totient is φ = 136416.

The previous prime is 180811. The next prime is 180847. The reversal of 180815 is 518081.

Added to its reverse (518081) it gives a square (698896 = 836²).

180815 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180815 - 2² = 180811 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180811) 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, 4184 + ... + 4226.

It is an arithmetic number, because the mean of its divisors is an integer number (19162).

2¹⁸⁰⁸¹⁵ is an apocalyptic number.

180815 is a deficient number, since it is larger than the sum of its proper divisors (49129).

180815 is an equidigital number, since it uses as much as digits as its factorization.

180815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 180815 is about 425.2234706598. The cubic root of 180815 is about 56.5472494827.

Adding to 180815 its reverse (518081), we get a palindrome (698896).

The spelling of 180815 in words is "one hundred eighty thousand, eight hundred fifteen".