15966 has 12 divisors (see below), whose sum is σ = 34632. Its totient is φ = 5316.

The previous prime is 15959. The next prime is 15971. The reversal of 15966 is 66951.

15966 = T₂₀ + T₂₁ + ... + T₄₆.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (2886).

2¹⁵⁹⁶⁶ is an apocalyptic number.

15966 is an abundant number, since it is smaller than the sum of its proper divisors (18666).

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

15966 is a wasteful number, since it uses less digits than its factorization.

15966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 15966 is about 126.3566381319. The cubic root of 15966 is about 25.1805594585.

It can be divided in two parts, 159 and 66, that added together give a square (225 = 15²).

The spelling of 15966 in words is "fifteen thousand, nine hundred sixty-six".