12815 has 8 divisors (see below), whose sum is σ = 16848. Its totient is φ = 9280.

The previous prime is 12809. The next prime is 12821. The reversal of 12815 is 51821.

12815 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12809) and next prime (12821).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12815 - 2^{4} = 12799 is a prime.

It is an iccanobiF number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 12793 and 12802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2106).

2^{12815} is an apocalyptic number.

12815 is a deficient number, since it is larger than the sum of its proper divisors (4033).

12815 is a wasteful number, since it uses less digits than its factorization.

12815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its digits is 80, while the sum is 17.

The square root of 12815 is about 113.2033568407. The cubic root of 12815 is about 23.4012758941.

The spelling of 12815 in words is "twelve thousand, eight hundred fifteen".

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