15806 has 8 divisors (see below), whose sum is σ = 27120. Its totient is φ = 6768.

The previous prime is 15803. The next prime is 15809. The reversal of 15806 is 60851.

15806 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (15803) and next prime (15809).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 551 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (3390).

2¹⁵⁸⁰⁶ is an apocalyptic number.

15806 is a deficient number, since it is larger than the sum of its proper divisors (11314).

15806 is a wasteful number, since it uses less digits than its factorization.

15806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 15806 is about 125.7219153529. The cubic root of 15806 is about 25.0961629664.

It can be divided in two parts, 15 and 806, that multiplied together give a triangular number (12090 = T₁₅₅).

The spelling of 15806 in words is "fifteen thousand, eight hundred six".