13546 has 8 divisors (see below), whose sum is σ = 21924. Its totient is φ = 6240.

The previous prime is 13537. The next prime is 13553. The reversal of 13546 is 64531.

13546 = T₃₉ + T₄₀ + ... + T₅₁.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 1225 = 111^2 + 35^2 .

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

It is a nialpdrome in base 7 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235 + ... + 286.

2¹³⁵⁴⁶ is an apocalyptic number.

13546 is a deficient number, since it is larger than the sum of its proper divisors (8378).

13546 is a wasteful number, since it uses less digits than its factorization.

13546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536.

The product of its digits is 360, while the sum is 19.

The square root of 13546 is about 116.3872845289. The cubic root of 13546 is about 23.8380297307.

It can be divided in two parts, 135 and 46, that added together give a palindrome (181).

The spelling of 13546 in words is "thirteen thousand, five hundred forty-six".