15546 has 8 divisors (see below), whose sum is σ = 31104. Its totient is φ = 5180.

The previous prime is 15541. The next prime is 15551. The reversal of 15546 is 64551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15541) and next prime (15551).

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

15546 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1290 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2¹⁵⁵⁴⁶ is an apocalyptic number.

15546 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (15552).

15546 is a wasteful number, since it uses less digits than its factorization.

15546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596.

The product of its digits is 600, while the sum is 21.

The square root of 15546 is about 124.6835995631. The cubic root of 15546 is about 24.9577954578.

It can be divided in two parts, 15 and 546, that added together give a triangular number (561 = T₃₃).

The spelling of 15546 in words is "fifteen thousand, five hundred forty-six".