43815 has 16 divisors (see below), whose sum is σ = 73728. Its totient is φ = 22176.

The previous prime is 43801. The next prime is 43853. The reversal of 43815 is 51834.

It is not a de Polignac number, because 43815 - 2⁵ = 43783 is a prime.

43815 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 43791 and 43800.

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 43815.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (4608).

2⁴³⁸¹⁵ is an apocalyptic number.

43815 is a deficient number, since it is larger than the sum of its proper divisors (29913).

43815 is a wasteful number, since it uses less digits than its factorization.

43815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its digits is 480, while the sum is 21.

The square root of 43815 is about 209.3203286831. The cubic root of 43815 is about 35.2539354793.

It can be divided in two parts, 43 and 815, that added together give a palindrome (858).

The spelling of 43815 in words is "forty-three thousand, eight hundred fifteen".