15946 has 16 divisors (see below), whose sum is σ = 29376. Its totient is φ = 6336.

The previous prime is 15937. The next prime is 15959. The reversal of 15946 is 64951.

15946 = T₂₈ + T₂₉ + ... + T₄₈.

It is a plaindrome in base 9.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 15946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (1836).

2¹⁵⁹⁴⁶ is an apocalyptic number.

15946 is a deficient number, since it is larger than the sum of its proper divisors (13430).

15946 is a wasteful number, since it uses less digits than its factorization.

15946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its digits is 1080, while the sum is 25.

The square root of 15946 is about 126.2774722585. The cubic root of 15946 is about 25.1700408226.

It can be divided in two parts, 1594 and 6, that added together give a square (1600 = 40²).

The spelling of 15946 in words is "fifteen thousand, nine hundred forty-six".