10815 has 16 divisors (see below), whose sum is σ = 19968.
Its totient is φ = 4896.
The previous prime is 10799. The next prime is 10831. The reversal of 10815 is 51801.
10815 = 212 + 222 + ... + 342.
It is a happy number.
It is a Cunningham number, because it is equal to 1042-1.
It is an interprime number because it is at equal distance from previous prime (10799) and next prime (10831).
It is not a de Polignac number, because 10815 - 24 = 10799 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a D-number.
It is a plaindrome in base 13.
It is a nialpdrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 10794 and 10803.
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 10815.
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, 54 + ... + 156.
It is an arithmetic number, because the mean of its divisors is an integer number (1248).
210815 is an apocalyptic number.
10815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
10815 is a deficient number, since it is larger than the sum of its proper divisors (9153).
10815 is a wasteful number, since it uses less digits than its factorization.
10815 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118.
The product of its (nonzero) digits is 40, while the sum is 15.
The square root of 10815 is about 103.9951921966.
The cubic root of 10815 is about 22.1144176786.
The spelling of 10815 in words is "ten thousand, eight hundred fifteen".