15846 has 16 divisors (see below), whose sum is σ = 33600. Its totient is φ = 4968.

The previous prime is 15823. The next prime is 15859. The reversal of 15846 is 64851.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

15846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2¹⁵⁸⁴⁶ is an apocalyptic number.

15846 is an abundant number, since it is smaller than the sum of its proper divisors (17754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

15846 is a wasteful number, since it uses less digits than its factorization.

15846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its digits is 960, while the sum is 24.

The square root of 15846 is about 125.8808960883. The cubic root of 15846 is about 25.1173152905.

It can be divided in two parts, 15 and 846, that added together give a triangular number (861 = T₄₁).

The spelling of 15846 in words is "fifteen thousand, eight hundred forty-six".