13496 has 16 divisors (see below), whose sum is σ = 29040. Its totient is φ = 5760.

The previous prime is 13487. The next prime is 13499. The reversal of 13496 is 69431.

13496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13499) by changing a digit.

13496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1815).

13496 is a Friedman number, since it can be written as 4*((9+6)^3-1), using all its digits and the basic arithmetic operations.

2¹³⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

13496 is an abundant number, since it is smaller than the sum of its proper divisors (15544).

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 (14520).

13496 is a wasteful number, since it uses less digits than its factorization.

13496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 13496 is about 116.1722858517. The cubic root of 13496 is about 23.8086638420.

The spelling of 13496 in words is "thirteen thousand, four hundred ninety-six".